{"id":1952,"date":"2025-08-16T22:28:56","date_gmt":"2025-08-16T14:28:56","guid":{"rendered":"https:\/\/trigonometry.top\/?page_id=1952"},"modified":"2026-07-03T20:54:38","modified_gmt":"2026-07-03T12:54:38","slug":"cosine","status":"publish","type":"page","link":"https:\/\/trigonometry.top\/cosine\/","title":{"rendered":"Cosine"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">The&nbsp;<strong>cosine (cos)<\/strong>&nbsp;function is one of the three core trigonometric ratios (alongside sine and tangent) and a cornerstone of trigonometry, algebra, calculus, and applied mathematics. Unlike other trigonometric functions, cosine is uniquely focused on the relationship between the adjacent side of a right-angled triangle and its hypotenuse \u2013 a relationship that powers critical calculations in engineering, navigation, physics, and everyday life. Whether you\u2019re a student learning trigonometry fundamentals, a professional applying cosine to solve real-world problems, or simply expanding your math knowledge, this comprehensive guide breaks down cosine into easy-to-understand concepts, actionable examples, and practical use cases.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">What Is Cosine (cos)?<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Core Definition (Right-Angled Triangle)<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">For any acute angle \u03b8 (theta) in a right-angled triangle, the cosine of \u03b8 is defined as:<strong>Cosine (cos \u03b8) = Length of Adjacent Side \/ Length of Hypotenuse<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This is encapsulated in the iconic SOHCAHTOA mnemonic (critical for remembering trig ratios):<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"750\" height=\"370\" src=\"https:\/\/trigonometry.top\/wp-content\/uploads\/2025\/08\/image-3.png\" alt=\"\" class=\"wp-image-2059\" srcset=\"https:\/\/trigonometry.top\/wp-content\/uploads\/2025\/08\/image-3.png 750w, https:\/\/trigonometry.top\/wp-content\/uploads\/2025\/08\/image-3-300x148.png 300w\" sizes=\"auto, (max-width: 750px) 100vw, 750px\" \/><\/figure>\n<\/div>\n\n\n<ul class=\"wp-block-list\">\n<li><strong>CAH<\/strong>:&nbsp;<strong>C<\/strong>os =&nbsp;<strong>A<\/strong>djacent \/&nbsp;<strong>H<\/strong>ypotenuse<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Key Context: What \u201cAdjacent\u201d Means<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The \u201cadjacent side\u201d is the side of the triangle that:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Forms the angle \u03b8 with the hypotenuse<\/li>\n\n\n\n<li>Is&nbsp;<strong>not<\/strong>&nbsp;the hypotenuse or the opposite side (the side opposite \u03b8)<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Cosine Beyond Right Triangles<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">While cosine is first taught in right triangles, it extends to all angles (0\u00b0 to 360\u00b0, positive and negative) using the unit circle \u2013 a circle with a radius of 1 centered at the origin of a coordinate plane. For any angle \u03b8 on the unit circle:<strong>cos \u03b8 = x-coordinate of the point where the terminal side of \u03b8 intersects the unit circle<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This makes cosine a periodic function (it repeats every 360\u00b0 or 2\u03c0 radians) with a range of [-1, 1].<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Cosine Values for Common Angles<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Memorizing cosine values for key angles (0\u00b0, 30\u00b0, 45\u00b0, 60\u00b0, 90\u00b0, 180\u00b0, 270\u00b0, 360\u00b0) is essential for fast calculations. Below is a curated table of cosine values for degrees and radians (the two most common angle units):<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Angle (Degrees)<\/th><th>Angle (Radians)<\/th><th>Cosine Value (cos \u03b8)<\/th><th>Key Notes<\/th><\/tr><\/thead><tbody><tr><td>0\u00b0<\/td><td>0<\/td><td>1<\/td><td>Maximum value of cosine<\/td><\/tr><tr><td>30\u00b0<\/td><td>\u03c0\/6<\/td><td>\u221a3\/2 \u2248 0.866<\/td><td><\/td><\/tr><tr><td>45\u00b0<\/td><td>\u03c0\/4<\/td><td>\u221a2\/2 \u2248 0.707<\/td><td>cos 45\u00b0 = sin 45\u00b0<\/td><\/tr><tr><td>60\u00b0<\/td><td>\u03c0\/3<\/td><td>1\/2 = 0.5<\/td><td><\/td><\/tr><tr><td>90\u00b0<\/td><td>\u03c0\/2<\/td><td>0<\/td><td><\/td><\/tr><tr><td>180\u00b0<\/td><td>\u03c0<\/td><td>-1<\/td><td>Minimum value of cosine<\/td><\/tr><tr><td>270\u00b0<\/td><td>3\u03c0\/2<\/td><td>0<\/td><td><\/td><\/tr><tr><td>360\u00b0<\/td><td>2\u03c0<\/td><td>1<\/td><td>Same as 0\u00b0 (periodicity)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">How to Calculate Cosine<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">1. Using a Calculator<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step 1: Ensure your calculator is set to&nbsp;<strong>degrees<\/strong>&nbsp;or&nbsp;<strong>radians<\/strong>&nbsp;(match the angle unit).<\/li>\n\n\n\n<li>Step 2: Enter the angle value (e.g., 60 for 60\u00b0).<\/li>\n\n\n\n<li>Step 3: Press the \u201ccos\u201d button \u2013 the result is cos \u03b8.<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">2. Manual Calculation (Right Triangle)<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Step 1: Identify the angle \u03b8 and measure the adjacent side and hypotenuse.<\/li>\n\n\n\n<li>Step 2: Divide the length of the adjacent side by the hypotenuse.<\/li>\n\n\n\n<li>Step 3: Simplify the fraction (e.g., 5\/10 = 0.5 for cos 60\u00b0).<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Essential Cosine Identities<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Cos identities simplify complex trigonometric equations and are vital for advanced math (algebra, calculus, physics). Here are the most commonly used:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1. Pythagorean Identity (Core)<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">sin\u00b2\u03b8 + cos\u00b2\u03b8 = 1<em>This identity lets you solve for cos \u03b8 if you know sin \u03b8 (and vice versa):<\/em>cos \u03b8 = \u00b1\u221a(1 \u2013 sin\u00b2\u03b8)<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2. Reciprocal Identity<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">sec \u03b8 = 1\/cos \u03b8 (secant = reciprocal of cosine)<em>Note: cos \u03b8 = 0 (at 90\u00b0, 270\u00b0, etc.) makes sec \u03b8 undefined.<\/em><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3. Even Function Identity<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">cos(-\u03b8) = cos \u03b8, <em>Cos is an even function \u2013 it is symmetric about the y-axis (negative angles have the same cosine as positive angles).<\/em><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">4. Double-Angle Identity<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">cos(2\u03b8) = cos\u00b2\u03b8 \u2013 sin\u00b2\u03b8 = 2cos\u00b2\u03b8 \u2013 1 = 1 \u2013 2sin\u00b2\u03b8<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">5. Sum\/Difference Identities<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">cos(A + B) = cos A cos B \u2013 sin A sin Bcos(A \u2013 B) = cos A cos B + sin A sin B<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Cosine calculator<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The cosine calculator is a practical tool for quickly computing cosine values of angles (in degrees or radians), designed to simplify calculations in mathematics, science, and engineering.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Core Functionality<\/strong>: Input an angle (in degrees or radians) to receive its cosine value, typically rounded to 4 decimal places. For example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>cos(0\u00b0)=1.0000;&nbsp;cos(60\u00b0)=0.5000;<\/li>\n\n\n\n<li>cos(<em>\u03c0<\/em>\u200b\/3)=0.5000;&nbsp;cos(<em>\u03c0<\/em>\/2\u200b)=0.0000.<\/li>\n<\/ul>\n\n\n\n<link href=\"https:\/\/cdn.jsdelivr.net\/npm\/font-awesome@4.7.0\/css\/font-awesome.min.css\" rel=\"stylesheet\">\n<style>\n    \/* \u57fa\u7840\u6837\u5f0f\u4e0e\u5bb9\u5668\u8bbe\u7f6e *\/\n    .sinc-calculator {\n        box-sizing: border-box;\n        font-family: 'Inter', system-ui, -apple-system, sans-serif;\n        max-width: 500px;\n        width: 100%;\n        margin: 20px auto;\n        border-radius: 12px;\n        box-shadow: 0 4px 12px #4caf50;\n        overflow: hidden;\n        transition: all 0.3s ease;\n    }\n    \n    .sinc-calculator:hover {\n        box-shadow: 0 6px 16px #4caf50;\n    }\n    \n    \/* \u6807\u9898\u533a\u57df *\/\n    .sinc-header {\n        background-color: #4caf50;\n        color: white;\n        padding: 20px;\n    }\n    \n    .sinc-title {\n        margin: 0;\n        font-size: 3rem;\n        font-weight: bold;\n        display: flex;\n        align-items: center;\n    }\n    \n    .sinc-title i {\n        margin-right: 10px;\n    }\n    \n    .sinc-subtitle {\n        margin: 5px 0 0 0;\n        color: rgba(255,255,255,0.9);\n        font-size: 2rem;\n    }\n    \n    \/* \u6807\u7b7e\u5207\u6362\u533a\u57df *\/\n    .sinc-tabs {\n        display: flex;\n        border-bottom: 1px solid #f1f5f9;\n    }\n    \n    .sinc-tab {\n        padding: 15px 20px;\n        cursor: pointer;\n        flex: 1;\n        text-align: center;\n        font-weight: 500;\n        transition: all 0.3s ease;\n        color: #64748B;\n    }\n    \n    .sinc-tab.active {\n        color: #4caf50;\n        border-bottom: 3px solid #4caf50;\n    }\n    \n    .sinc-tab:hover:not(.active) {\n        background-color: #f8fafc;\n        color: #3B82F6;\n    }\n    \n    \/* \u5185\u5bb9\u533a\u57df *\/\n    .sinc-content {\n        padding: 20px;\n        background-color: white;\n    }\n    \n    \/* \u8f93\u5165\u533a\u57df *\/\n    .sinc-input-group {\n        margin-bottom: 20px;\n    }\n    \n    .sinc-input-wrapper {\n        position: relative;\n    }\n    \n    .sinc-input {\n        width: 100%;\n        padding: 12px 12px 12px 40px;\n        border: 2px solid #4caf50;\n        border-radius: 8px;\n        font-size: 5rem;\n        box-sizing: border-box;\n        transition: all 0.3s ease;\n    }\n    \n    .sinc-input:focus {\n        outline: none;\n        border-color: #4caf50;\n        box-shadow: 0 0 0 2px rgba(59, 130, 246, 0.2);\n    }\n    \n    .sinc-unit {\n        position: absolute;\n        right: 24px;\n        top: 50%;\n        transform: translateY(-80%);\n        color: #4caf50;\n    }\n    \n    \/* \u7ed3\u679c\u533a\u57df *\/\n    .sinc-result {\n        background-color: #f8fafc;\n        border: 2px solid #f1f5f9;\n        border-radius: 8px;\n        padding: 15px;\n        margin-bottom: 20px;\n    }\n    \n    .sinc-result-value {\n        font-size: 4rem;\n    }\n    \n    .sinc-angle-display {\n        color: #3B82F6;\n        font-weight: 500;\n    }\n    \n    .sinc-sine-result {\n        color: #10B981;\n        font-weight: bold;\n    }\n    \n    \/* \u53c2\u8003\u533a\u57df *\/\n    .sinc-reference {\n        padding-top: 20px;\n        border-top: 1px solid #f1f5f9;\n    }\n    \n    .sinc-reference-title {\n        margin: 0 0 10px 0;\n        color: #64748B;\n        font-weight: 500;\n        font-size: 2rem;\n    }\n    \n    .sinc-reference-grid {\n        display: grid;\n        grid-template-columns: repeat(2, 1fr);\n        gap: 8px;\n        font-size: 2rem;\n    }\n    \n    .sinc-reference-item {\n        background-color: #f8fafc;\n        padding: 8px;\n        border-radius: 4px;\n    }\n    \n    \/* \u53c2\u8003\u503c\u5207\u6362\u533a\u57df *\/\n    .reference-content {\n        display: none;\n    }\n    \n    .reference-content.active {\n        display: block;\n    }\n<\/style>\n\n<div class=\"sinc-calculator\">\n    <div class=\"sinc-header\">\n        <h2 class=\"sinc-title\">\n            <i class=\"fa fa-calculator\"><\/i>Cosine Calculator\n        <\/h2>\n        <p class=\"sinc-subtitle\">Calculate cosine of angles or radians<\/p>\n    <\/div>\n    \n    <!-- \u6807\u7b7e\u5207\u6362 -->\n    <div class=\"sinc-tabs\">\n        <div class=\"sinc-tab active\" data-mode=\"degree\">Degrees (\u00b0)<\/div>\n        <div class=\"sinc-tab\" data-mode=\"radian\">Radians (rad)<\/div>\n    <\/div>\n    \n    <div class=\"sinc-content\">\n        <div class=\"sinc-input-group\">\n            <div class=\"sinc-input-wrapper\">\n                <input \n                    type=\"number\" \n                    id=\"sinc-angle-input\" \n                    class=\"sinc-input\"\n                    placeholder=\"\"\n                    step=\"any\"\n                >\n                <span class=\"sinc-unit\">\u00b0<\/span>\n            <\/div>\n        <\/div>\n        \n        <div class=\"sinc-result\">\n            <div class=\"sinc-result-value\">\n                cos(<span id=\"sinc-angle-display\" class=\"sinc-angle-display\">0<\/span> <span id=\"sinc-unit-display\">\u00b0<\/span>) = <span id=\"sinc-sine-result\" class=\"sinc-sine-result\">1<\/span>\n            <\/div>\n        <\/div>\n        \n        <div class=\"sinc-reference\">\n            <h4 class=\"sinc-reference-title\">Common cosine values reference:<\/h4>\n            \n            <!-- \u89d2\u5ea6\u53c2\u8003\u503c -->\n            <div class=\"reference-content active\" data-mode=\"degree\">\n                <div class=\"sinc-reference-grid\">\n                    <div class=\"sinc-reference-item\">cos(0\u00b0) = 1<\/div>\n                    <div class=\"sinc-reference-item\">cos(30\u00b0) \u2248 0.8660<\/div>\n                    <div class=\"sinc-reference-item\">cos(45\u00b0) \u2248 0.7071<\/div>\n                    <div class=\"sinc-reference-item\">cos(60\u00b0) = 0.5<\/div>\n                    <div class=\"sinc-reference-item\">cos(90\u00b0) = 0<\/div>\n                    <div class=\"sinc-reference-item\">cos(180\u00b0) = -1<\/div>\n                <\/div>\n            <\/div>\n            \n            <!-- \u5f27\u5ea6\u53c2\u8003\u503c -->\n            <div class=\"reference-content\" data-mode=\"radian\">\n                <div class=\"sinc-reference-grid\">\n                    <div class=\"sinc-reference-item\">cos(0) = 1<\/div>\n                    <div class=\"sinc-reference-item\">cos(\u03c0\/6) \u2248 0.8660<\/div>\n                    <div class=\"sinc-reference-item\">cos(\u03c0\/4) \u2248 0.7071<\/div>\n                    <div class=\"sinc-reference-item\">cos(\u03c0\/3) = 0.5<\/div>\n                    <div class=\"sinc-reference-item\">cos(\u03c0\/2) = 0<\/div>\n                    <div class=\"sinc-reference-item\">cos(\u03c0) = -1<\/div>\n                <\/div>\n            <\/div>\n        <\/div>\n    <\/div>\n<\/div>\n\n<script>\n    \/\/ \u4f7f\u7528IIFE\u9694\u79bb\u53d8\u91cf\uff0c\u907f\u514d\u5168\u5c40\u6c61\u67d3\n    (function() {\n        \/\/ \u83b7\u53d6\u5143\u7d20\n        const angleInput = document.getElementById('sinc-angle-input');\n        const angleDisplay = document.getElementById('sinc-angle-display');\n        const sineResult = document.getElementById('sinc-sine-result');\n        const unitDisplay = document.getElementById('sinc-unit-display');\n        const unitIndicator = document.querySelector('.sinc-unit');\n        const tabs = document.querySelectorAll('.sinc-tab');\n        const referenceContents = document.querySelectorAll('.reference-content');\n        \n        \/\/ \u5f53\u524d\u6a21\u5f0f\uff1adegree \u6216 radian\n        let currentMode = 'degree';\n        \n        \/\/ \u521d\u59cb\u8ba1\u7b97\n        calculateCosine(0);\n        \n        \/\/ \u76d1\u542c\u8f93\u5165\u53d8\u5316\uff0c\u5b9e\u65f6\u8ba1\u7b97\n        angleInput.addEventListener('input', function() {\n            const value = parseFloat(this.value) || 0;\n            calculateCosine(value);\n        });\n        \n        \/\/ \u6807\u7b7e\u5207\u6362\u4e8b\u4ef6\n        tabs.forEach(tab => {\n            tab.addEventListener('click', function() {\n                \/\/ \u79fb\u9664\u6240\u6709\u6807\u7b7e\u7684active\u7c7b\n                tabs.forEach(t => t.classList.remove('active'));\n                \/\/ \u7ed9\u5f53\u524d\u70b9\u51fb\u7684\u6807\u7b7e\u6dfb\u52a0active\u7c7b\n                this.classList.add('active');\n                \n                \/\/ \u66f4\u65b0\u5f53\u524d\u6a21\u5f0f\n                currentMode = this.dataset.mode;\n                \n                \/\/ \u66f4\u65b0\u5355\u4f4d\u663e\u793a\n                if (currentMode === 'degree') {\n                    unitDisplay.textContent = '\u00b0';\n                    unitIndicator.textContent = '\u00b0';\n                } else {\n                    unitDisplay.textContent = 'rad';\n                    unitIndicator.textContent = 'rad';\n                }\n                \n                \/\/ \u5207\u6362\u53c2\u8003\u503c\u663e\u793a\n                referenceContents.forEach(content => {\n                    if (content.dataset.mode === currentMode) {\n                        content.classList.add('active');\n                    } else {\n                        content.classList.remove('active');\n                    }\n                });\n                \n                \/\/ \u91cd\u65b0\u8ba1\u7b97\n                const value = parseFloat(angleInput.value) || 0;\n                calculateCosine(value);\n            });\n        });\n        \n        \/\/ \u8ba1\u7b97\u4f59\u5f26\u503c\u7684\u51fd\u6570\n        function calculateCosine(value) {\n            let cosine;\n            \n            if (currentMode === 'degree') {\n                \/\/ \u89d2\u5ea6\u8f6c\u5f27\u5ea6\u540e\u8ba1\u7b97\n                const radians = value * Math.PI \/ 180;\n                cosine = Math.cos(radians);\n                angleDisplay.textContent = value.toFixed(2);\n            } else {\n                \/\/ \u76f4\u63a5\u4f7f\u7528\u5f27\u5ea6\u8ba1\u7b97\n                cosine = Math.cos(value);\n                angleDisplay.textContent = value.toFixed(4);\n            }\n            \n            sineResult.textContent = cosine.toFixed(4);\n        }\n        \n        \/\/ \u8f93\u5165\u6846\u805a\u7126\u6548\u679c\n        angleInput.addEventListener('focus', function() {\n            this.closest('.sinc-input-group').style.transform = 'scale(1.02)';\n            this.closest('.sinc-input-group').style.transition = 'transform 0.3s ease';\n        });\n        \n        angleInput.addEventListener('blur', function() {\n            this.closest('.sinc-input-group').style.transform = 'scale(1)';\n        });\n    })();\n<\/script>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Practical Uses<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Students verifying homework answers or solving trigonometric equations;<\/li>\n\n\n\n<li>Engineers calculating structural forces, such as determining horizontal components of vectors;<\/li>\n\n\n\n<li>Researchers needing precise values for data analysis or simulations.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Table of Cosine values<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The cosine values table provides precomputed cosine values for angles from 1\u00b0 to 360\u00b0 (rounded to 4 decimal places), offering a quick reference for understanding the function\u2019s behavior.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Patterns in the Table<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>0\u00b0 to 90\u00b0: Cos values decrease from 1 to 0 (first quadrant, positive values);<\/li>\n\n\n\n<li>90\u00b0 to 180\u00b0: Values decrease from 0 to -1 (second quadrant, negative values);<\/li>\n\n\n\n<li>180\u00b0 to 270\u00b0: Values increase from -1 to 0 (third quadrant, negative values);<\/li>\n\n\n\n<li>270\u00b0 to 360\u00b0: Values increase from 0 to 1 (fourth quadrant, positive values).<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Utility<\/strong>: Enables rapid lookup of common angles without a calculator. For instance,&nbsp;cos(120\u00b0)=\u22120.5000,&nbsp;cos(270\u00b0)=0.0000, and&nbsp;cos(360\u00b0)=1.0000, helping visualize the function\u2019s symmetry and periodicity.<\/p>\n\n\n\n<div class=\"sine-table-container\" style=\"box-sizing: border-box; max-width: 100%; padding: 0 10px;\">\n    <div class=\"sine-table-header\" style=\"box-sizing: border-box; text-align: center; margin-bottom: 15px; color: #334155;\">\n        <div style=\"box-sizing: border-box; font-size: 3rem; margin-bottom: 8px; display: flex; align-items: center; justify-content: center; font-weight: bold;\">\n            <i class=\"fa fa-table\" style=\"box-sizing: border-box; margin-right: 8px; color: #4caf50;\"><\/i>\n            Cosine Values Table (1-360 Degrees)\n        <\/div>\n        <div style=\"box-sizing: border-box; font-size: 2rem; color: #64748b;\">The table presents cosine values from 1\u00b0 to 360\u00b0, formatted as cos (degree\u00b0)=value (rounded to 4 decimal places)<\/div>\n    <\/div>\n    \n    <div class=\"sine-table-wrapper\" style=\"box-sizing: border-box; overflow-x: auto; background-color: white; border-radius: 8px; box-shadow: 0 2px 8px rgba(0, 0, 0, 0.1);\">\n        <table class=\"sine-table\" id=\"sineTable\" style=\"box-sizing: border-box; width: 100%; border-collapse: collapse;\">\n            <thead>\n                <tr class=\"header-row\">\n                    <!-- \u8868\u5934\u5c06\u901a\u8fc7JavaScript\u6839\u636e\u5c4f\u5e55\u5c3a\u5bf8\u52a8\u6001\u751f\u6210 -->\n                <\/tr>\n            <\/thead>\n            <tbody>\n                <!-- \u8868\u683c\u5185\u5bb9\u5c06\u901a\u8fc7JavaScript\u52a8\u6001\u751f\u6210 -->\n            <\/tbody>\n        <\/table>\n    <\/div>\n<\/div>\n\n<style>\n    \/* \u54cd\u5e94\u5f0f\u6837\u5f0f - \u6839\u636e\u5c4f\u5e55\u5bbd\u5ea6\u8c03\u6574\u5217\u6570 *\/\n    @media (max-width: 576px) {\n        .sine-table .data-row {\n            grid-template-columns: repeat(1, 1fr);\n        }\n        .header-row {\n            grid-template-columns: repeat(1, 1fr);\n        }\n    }\n    \n    @media (min-width: 577px) and (max-width: 768px) {\n        .sine-table .data-row {\n            grid-template-columns: repeat(2, 1fr);\n        }\n        .header-row {\n            grid-template-columns: repeat(2, 1fr);\n        }\n    }\n    \n    @media (min-width: 769px) and (max-width: 992px) {\n        .sine-table .data-row {\n            grid-template-columns: repeat(3, 1fr);\n        }\n        .header-row {\n            grid-template-columns: repeat(3, 1fr);\n        }\n    }\n    \n    @media (min-width: 993px) {\n        .sine-table .data-row {\n            grid-template-columns: repeat(6, 1fr);\n        }\n        .header-row {\n            grid-template-columns: repeat(6, 1fr);\n        }\n    }\n    \n    \/* \u8868\u683c\u884c\u4f7f\u7528grid\u5e03\u5c40\u5b9e\u73b0\u54cd\u5e94\u5f0f\u5217\u6570 *\/\n    .sine-table tr.header-row {\n        display: grid;\n        width: 100%;\n    }\n    \n    .sine-table tr.data-row {\n        display: grid;\n        width: 100%;\n    }\n    \n    .sine-table td, .sine-table th {\n        box-sizing: border-box;\n        padding: 10px 8px;\n        text-align: center;\n        border-bottom: 1px solid #f1f5f9;\n        font-family: 'monospace';\n    }\n    \n    .sine-table th {\n        background-color: #4caf50;\n        color: white;\n        font-weight: 600;\n    }\n    \n    \/* \u9ad8\u4eae\u7279\u6b8a\u89d2\u5ea6\u884c *\/\n    .sine-table tr.highlight {\n        background-color: #e8f5e9;\n    }\n    \n    \/* \u60ac\u505c\u6548\u679c *\/\n    .sine-table tr.data-row:hover:not(.highlight) {\n        background-color: #f1f5f9;\n    }\n<\/style>\n\n<script>\n    \/\/ \u751f\u6210\u54cd\u5e94\u5f0f\u8868\u683c\n    document.addEventListener('DOMContentLoaded', function() {\n        const table = document.querySelector('#sineTable');\n        const tableBody = table.querySelector('tbody');\n        const tableHeader = table.querySelector('thead tr.header-row');\n        \n        \/\/ \u6839\u636e\u5c4f\u5e55\u5bbd\u5ea6\u786e\u5b9a\u6bcf\u884c\u5217\u6570\n        function getColumnsCount() {\n            const width = window.innerWidth;\n            if (width <= 576) return 1;\n            if (width <= 768) return 2;\n            if (width <= 992) return 3;\n            return 6; \/\/ \u5927\u5c4f\u5e55\u4fdd\u63016\u5217\n        }\n        \n        \/\/ \u751f\u6210\u8868\u5934\n        function generateHeader() {\n            const cols = getColumnsCount();\n            tableHeader.innerHTML = ''; \/\/ \u6e05\u7a7a\u73b0\u6709\u8868\u5934\n            \n            for (let i = 0; i < cols; i++) {\n                const th = document.createElement('th');\n                th.textContent = 'Cosine expression';\n                tableHeader.appendChild(th);\n            }\n        }\n        \n        \/\/ \u751f\u6210\u8868\u683c\u5185\u5bb9\n        function generateTableContent() {\n            tableBody.innerHTML = ''; \/\/ \u6e05\u7a7a\u73b0\u6709\u5185\u5bb9\n            const cols = getColumnsCount();\n            let currentRow;\n            let cellIndex = 0;\n            \n            for (let degree = 1; degree <= 360; degree++) {\n                \/\/ \u6bcfcols\u4e2a\u5355\u5143\u683c\u521b\u5efa\u4e00\u884c\n                if (cellIndex % cols === 0) {\n                    currentRow = document.createElement('tr');\n                    currentRow.className = 'data-row';\n                    tableBody.appendChild(currentRow);\n                    cellIndex = 0;\n                }\n                \n                \/\/ \u8ba1\u7b97\u4f59\u5f26\u503c\n                const radians = degree * Math.PI \/ 180;\n                const cosineValue = Math.cos(radians).toFixed(4);\n                \n                \/\/ \u521b\u5efa\u5355\u5143\u683c\n                const cell = document.createElement('td');\n                cell.innerHTML = `cos(${degree}\u00b0) = <span style=\"color: #10b981; font-weight: 500;\">${cosineValue}<\/span>`;\n                currentRow.appendChild(cell);\n                cellIndex++;\n                \n                \/\/ \u4f59\u5f26\u7279\u6b8a\u89d2\u5ea6\u9ad8\u4eae\uff08\u4fdd\u7559\u6570\u5b66\u4e0a\u7684\u5173\u952e\u89d2\u5ea6\uff09\n                if ([0, 30, 45, 60, 90, 180, 270, 360].includes(degree)) {\n                    currentRow.classList.add('highlight');\n                }\n            }\n        }\n        \n        \/\/ \u521d\u59cb\u751f\u6210\u8868\u683c\n        generateHeader();\n        generateTableContent();\n        \n        \/\/ \u76d1\u542c\u7a97\u53e3\u5927\u5c0f\u53d8\u5316\uff0c\u91cd\u65b0\u751f\u6210\u8868\u683c\n        window.addEventListener('resize', function() {\n            generateHeader();\n            generateTableContent();\n        });\n    });\n<\/script>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Real-World Applications of Cosine<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Cos is not just a theoretical concept \u2013 it solves practical problems across industries and daily life:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1. Engineering &amp; Construction<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Roof Slope Design<\/strong>: Calculate the horizontal span of a roof (adjacent side) using cos \u03b8 = horizontal span \/ roof rafter length (hypotenuse).<\/li>\n\n\n\n<li><strong>Bridge Engineering<\/strong>: Determine the tension in support cables (cosine helps calculate horizontal forces in structural beams).<\/li>\n\n\n\n<li><strong>Ramp Design<\/strong>: Find the horizontal length of a wheelchair ramp (cos \u03b8 = horizontal length \/ ramp length).<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2. Navigation &amp; GPS<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Marine Navigation<\/strong>: Sailors use cosine to calculate the distance between two points on the globe (using latitude\/longitude angles and the Earth\u2019s radius).<\/li>\n\n\n\n<li><strong>GPS Triangulation<\/strong>: GPS systems use cosine to compute the distance from a satellite to a receiver (part of the trilateration process).<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">3. Physics &amp; Mechanics<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Projectile Motion<\/strong>: Cos calculates the horizontal component of a projectile\u2019s velocity (v\u2093 = v \u00d7 cos \u03b8, where v = total velocity, \u03b8 = launch angle).<\/li>\n\n\n\n<li><strong>Wave Analysis<\/strong>: Sound\/light waves use cosine to model amplitude and frequency (y = A cos(\u03c9t + \u03c6)).<\/li>\n\n\n\n<li><strong>Force Resolution<\/strong>: Break down a force into horizontal\/vertical components (horizontal force = F \u00d7 cos \u03b8).<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">4. Everyday Life<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Shadow Calculations<\/strong>: Find the horizontal distance from an object to the end of its shadow (cos \u03b8 = distance \/ length of the object\u2019s \u201cline of sight\u201d to the sun).<\/li>\n\n\n\n<li><strong>Ladder Safety<\/strong>: Determine how far a ladder should be placed from a wall (cos \u03b8 = distance from wall \/ ladder length \u2013 OSHA recommends a 75\u00b0 angle, cos 75\u00b0 \u2248 0.259).<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Step-by-Step Cosine Example Problem<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Let\u2019s apply cosine to solve a practical problem \u2013 a common scenario students and professionals encounter:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Problem<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A radio tower has a guy wire (support cable) that is 20 meters long and makes a 45\u00b0 angle with the ground. How far from the base of the tower is the anchor point of the guy wire (adjacent side to 45\u00b0)?<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Solution<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify the formula<\/strong>: cos \u03b8 = adjacent \/ hypotenuse<\/li>\n\n\n\n<li><strong>Plug in values<\/strong>: cos 45\u00b0 = distance \/ 20<\/li>\n\n\n\n<li><strong>Solve for distance<\/strong>:distance = 20 \u00d7 cos 45\u00b0cos 45\u00b0 = \u221a2\/2 \u2248 0.707distance = 20 \u00d7 0.707 \u2248 14.14 meters<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Verification<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Use the Pythagorean identity to check:sin 45\u00b0 = \u221a2\/2 \u2248 0.707sin\u00b245\u00b0 + cos\u00b245\u00b0 = (0.707)\u00b2 + (0.707)\u00b2 = 0.5 + 0.5 = 1 \u2714\ufe0f<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Common Mistakes to Avoid with Cosine<\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Mixing Up Adjacent\/Opposite Sides<\/strong>: Always define \u03b8 first \u2013 \u201cadjacent\u201d is relative to the angle, not the triangle.<\/li>\n\n\n\n<li><strong>Incorrect Angle Units<\/strong>: Forgetting to switch between degrees\/radians (e.g., cos 90 radians \u2248 0.894, while cos 90\u00b0 = 0).<\/li>\n\n\n\n<li><strong>Ignoring Periodicity<\/strong>: Assuming cos 370\u00b0 \u2260 cos 10\u00b0 (cosine repeats every 360\u00b0, so they are equal).<\/li>\n\n\n\n<li><strong>Misapplying the Pythagorean Identity<\/strong>: Forgetting the square (sin\u03b8 + cos\u03b8 \u2260 1 \u2013 it\u2019s sin\u00b2\u03b8 + cos\u00b2\u03b8 = 1).<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Frequently Asked Questions (FAQs) About Cosine<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Q1: What is the range of the cosine function?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A1: Cos values range from -1 to 1 (cos \u03b8 \u2208 [-1, 1]) for all real angles \u03b8.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Q2: Is cosine positive or negative in different quadrants?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A2: Cos is positive in Quadrants I and IV (0\u00b0\u201390\u00b0, 270\u00b0\u2013360\u00b0) and negative in Quadrants II and III (90\u00b0\u2013270\u00b0).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Q3: Can cosine be greater than 1?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A3: No \u2013 the hypotenuse is the longest side of a right triangle, so adjacent\/hypotenuse can never exceed 1 (or be less than -1 for negative angles).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Q4: How is cosine used in calculus?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A4: Cos is critical for derivatives (d\/dx cos x = -sin x) and integrals (\u222bcos x dx = sin x + C), and it models periodic phenomena (e.g., harmonic motion).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Q5: What is the difference between cosine and secant?<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A5: Secant (sec \u03b8) is the reciprocal of cosine (1\/cos \u03b8). Cos focuses on adjacent\/hypotenuse, while secant is hypotenuse\/adjacent.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Conclusion<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The cosine function is a versatile and indispensable tool in mathematics and applied sciences. From basic right-triangle calculations to advanced engineering and physics, understanding cosine\u2019s definition, values, identities, and applications unlocks the ability to solve a vast range of problems. By memorizing key values, mastering core identities, and practicing real-world examples, you\u2019ll gain confidence in using cosine \u2013 whether for school, work, or everyday problem-solving.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">If you have questions about cosine, trigonometric identities, or related topics, leave a comment below, or explore our guides to sine, tangent, and the Law of Cosines!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The&nbsp;cosine (cos)&nbsp;function is one of the  [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"open","ping_status":"closed","template":"page-templates\/template-fullwidth.php","meta":{"footnotes":""},"class_list":["post-1952","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.7 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Cosine - Trigonometry<\/title>\n<meta name=\"description\" content=\"Master the cosine function (cos) \u2013 learn its definition, formulas, key values, identities, real-world applications, and solve problems step-by-step. Everything you need to know about cosine.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/trigonometry.top\/cosine\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Cosine - Trigonometry\" \/>\n<meta property=\"og:description\" content=\"Master the cosine function (cos) \u2013 learn its definition, formulas, key values, identities, real-world applications, and solve problems step-by-step. Everything you need to know about cosine.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/trigonometry.top\/cosine\/\" \/>\n<meta property=\"og:site_name\" content=\"Trigonometry\" \/>\n<meta property=\"article:modified_time\" content=\"2026-07-03T12:54:38+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/trigonometry.top\/wp-content\/uploads\/2025\/08\/image-3.png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\" \/>\n\t<meta name=\"twitter:data1\" content=\"9 \u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/trigonometry.top\/cosine\/\",\"url\":\"https:\/\/trigonometry.top\/cosine\/\",\"name\":\"Cosine - Trigonometry\",\"isPartOf\":{\"@id\":\"https:\/\/trigonometry.top\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/trigonometry.top\/cosine\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/trigonometry.top\/cosine\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/trigonometry.top\/wp-content\/uploads\/2025\/08\/image-3.png\",\"datePublished\":\"2025-08-16T14:28:56+00:00\",\"dateModified\":\"2026-07-03T12:54:38+00:00\",\"description\":\"Master the cosine function (cos) \u2013 learn its definition, formulas, key values, identities, real-world applications, and solve problems step-by-step. Everything you need to know about cosine.\",\"breadcrumb\":{\"@id\":\"https:\/\/trigonometry.top\/cosine\/#breadcrumb\"},\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/trigonometry.top\/cosine\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/trigonometry.top\/cosine\/#primaryimage\",\"url\":\"https:\/\/trigonometry.top\/wp-content\/uploads\/2025\/08\/image-3.png\",\"contentUrl\":\"https:\/\/trigonometry.top\/wp-content\/uploads\/2025\/08\/image-3.png\",\"width\":750,\"height\":370},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/trigonometry.top\/cosine\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u9996\u9875\",\"item\":\"https:\/\/trigonometry.top\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Cosine\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/trigonometry.top\/#website\",\"url\":\"https:\/\/trigonometry.top\/\",\"name\":\"Trigonometry\",\"description\":\"trigonometry table\",\"publisher\":{\"@id\":\"https:\/\/trigonometry.top\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/trigonometry.top\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"zh-Hans\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/trigonometry.top\/#organization\",\"name\":\"Trigonometry\",\"url\":\"https:\/\/trigonometry.top\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/trigonometry.top\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/trigonometry.top\/wp-content\/uploads\/2025\/08\/cropped-\u4e09\u89d2\u51fd\u6570.png\",\"contentUrl\":\"https:\/\/trigonometry.top\/wp-content\/uploads\/2025\/08\/cropped-\u4e09\u89d2\u51fd\u6570.png\",\"width\":200,\"height\":200,\"caption\":\"Trigonometry\"},\"image\":{\"@id\":\"https:\/\/trigonometry.top\/#\/schema\/logo\/image\/\"}}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Cosine - Trigonometry","description":"Master the cosine function (cos) \u2013 learn its definition, formulas, key values, identities, real-world applications, and solve problems step-by-step. Everything you need to know about cosine.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/trigonometry.top\/cosine\/","og_locale":"zh_CN","og_type":"article","og_title":"Cosine - Trigonometry","og_description":"Master the cosine function (cos) \u2013 learn its definition, formulas, key values, identities, real-world applications, and solve problems step-by-step. Everything you need to know about cosine.","og_url":"https:\/\/trigonometry.top\/cosine\/","og_site_name":"Trigonometry","article_modified_time":"2026-07-03T12:54:38+00:00","og_image":[{"url":"https:\/\/trigonometry.top\/wp-content\/uploads\/2025\/08\/image-3.png"}],"twitter_card":"summary_large_image","twitter_misc":{"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4":"9 \u5206"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/trigonometry.top\/cosine\/","url":"https:\/\/trigonometry.top\/cosine\/","name":"Cosine - Trigonometry","isPartOf":{"@id":"https:\/\/trigonometry.top\/#website"},"primaryImageOfPage":{"@id":"https:\/\/trigonometry.top\/cosine\/#primaryimage"},"image":{"@id":"https:\/\/trigonometry.top\/cosine\/#primaryimage"},"thumbnailUrl":"https:\/\/trigonometry.top\/wp-content\/uploads\/2025\/08\/image-3.png","datePublished":"2025-08-16T14:28:56+00:00","dateModified":"2026-07-03T12:54:38+00:00","description":"Master the cosine function (cos) \u2013 learn its definition, formulas, key values, identities, real-world applications, and solve problems step-by-step. Everything you need to know about cosine.","breadcrumb":{"@id":"https:\/\/trigonometry.top\/cosine\/#breadcrumb"},"inLanguage":"zh-Hans","potentialAction":[{"@type":"ReadAction","target":["https:\/\/trigonometry.top\/cosine\/"]}]},{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/trigonometry.top\/cosine\/#primaryimage","url":"https:\/\/trigonometry.top\/wp-content\/uploads\/2025\/08\/image-3.png","contentUrl":"https:\/\/trigonometry.top\/wp-content\/uploads\/2025\/08\/image-3.png","width":750,"height":370},{"@type":"BreadcrumbList","@id":"https:\/\/trigonometry.top\/cosine\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\u9996\u9875","item":"https:\/\/trigonometry.top\/"},{"@type":"ListItem","position":2,"name":"Cosine"}]},{"@type":"WebSite","@id":"https:\/\/trigonometry.top\/#website","url":"https:\/\/trigonometry.top\/","name":"Trigonometry","description":"trigonometry table","publisher":{"@id":"https:\/\/trigonometry.top\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/trigonometry.top\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"zh-Hans"},{"@type":"Organization","@id":"https:\/\/trigonometry.top\/#organization","name":"Trigonometry","url":"https:\/\/trigonometry.top\/","logo":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/trigonometry.top\/#\/schema\/logo\/image\/","url":"https:\/\/trigonometry.top\/wp-content\/uploads\/2025\/08\/cropped-\u4e09\u89d2\u51fd\u6570.png","contentUrl":"https:\/\/trigonometry.top\/wp-content\/uploads\/2025\/08\/cropped-\u4e09\u89d2\u51fd\u6570.png","width":200,"height":200,"caption":"Trigonometry"},"image":{"@id":"https:\/\/trigonometry.top\/#\/schema\/logo\/image\/"}}]}},"_links":{"self":[{"href":"https:\/\/trigonometry.top\/wp-json\/wp\/v2\/pages\/1952","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/trigonometry.top\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/trigonometry.top\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/trigonometry.top\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/trigonometry.top\/wp-json\/wp\/v2\/comments?post=1952"}],"version-history":[{"count":11,"href":"https:\/\/trigonometry.top\/wp-json\/wp\/v2\/pages\/1952\/revisions"}],"predecessor-version":[{"id":2396,"href":"https:\/\/trigonometry.top\/wp-json\/wp\/v2\/pages\/1952\/revisions\/2396"}],"wp:attachment":[{"href":"https:\/\/trigonometry.top\/wp-json\/wp\/v2\/media?parent=1952"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}