{"id":130281,"date":"2025-07-28T16:16:55","date_gmt":"2025-07-28T10:46:55","guid":{"rendered":"https:\/\/www.oliveboard.in\/blog\/?p=130281"},"modified":"2025-07-28T20:16:58","modified_gmt":"2025-07-28T14:46:58","slug":"trigonometry-table","status":"publish","type":"post","link":"https:\/\/www.oliveboard.in\/blog\/trigonometry-table\/","title":{"rendered":"Trigonometry Table, Formula, 0 to 360 Degree, Function and Example"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_77 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of content<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.oliveboard.in\/blog\/trigonometry-table\/#What_is_Trigonometry\" >What is Trigonometry?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.oliveboard.in\/blog\/trigonometry-table\/#What_Are_Trigonometric_Functions\" >What Are Trigonometric Functions?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.oliveboard.in\/blog\/trigonometry-table\/#How_to_Construct_a_Trigonometry_Table\" >How to Construct a Trigonometry Table?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.oliveboard.in\/blog\/trigonometry-table\/#Trigonometry_Table_from_0%C2%B0_to_360%C2%B0\" >Trigonometry Table from 0\u00b0 to 360\u00b0<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.oliveboard.in\/blog\/trigonometry-table\/#Applications_of_the_Trigonometry_Table\" >Applications of the Trigonometry Table?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.oliveboard.in\/blog\/trigonometry-table\/#Advantages_and_Limitations_of_the_Trigonometry_Table\" >Advantages and Limitations of the Trigonometry Table<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.oliveboard.in\/blog\/trigonometry-table\/#Trigonometry_Table_and_Functions_-FAQs\" >Trigonometry Table and Functions -FAQs<\/a><\/li><\/ul><\/nav><\/div>\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"What_is_Trigonometry\"><\/span>What is Trigonometry?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Trigonometry is a part of math that deals with the angles and sides of triangles. It is useful in various fields, including engineering, physics, astronomy, and construction. One of the most important tools in trigonometry is the trigonometry table. This table shows the values of six trigonometric functions, sin, cos, tan, cot, sec, and cosec<strong>,<\/strong> for common angles such as 0\u00b0, 30\u00b0, 45\u00b0, 60\u00b0, and 90\u00b0. In this article, you will learn what a trigonometry table is, how it is made, and how it helps you solve questions in exams and real-life problems.<\/p>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button aligncenter\"><a class=\"wp-block-button__link\" href=\"https:\/\/www.oliveboard.in\/courses\/?ref=contan-ssc\" target=\"_blank\" rel=\"noreferrer noopener\">Check out&nbsp;Courses <strong>for All Govt Exams<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"What_Are_Trigonometric_Functions\"><\/span>What Are Trigonometric Functions?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Before using the trigonometry table, it&#8217;s important to understand the basic trigonometric functions. These are used in a right-angled triangle to relate the sides to the angles.<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Sine (sin) \u2013 It is the ratio of the opposite side to the hypotenuse.<br>Formula: sin\u202f\u03b8 = Opposite \/ Hypotenuse<\/li><li>Cosine (cos) \u2013 It is the ratio of the adjacent side to the hypotenuse.<br>Formula: cos\u202f\u03b8 = Adjacent \/ Hypotenuse<\/li><li>Tangent (tan) \u2013 It is the ratio of the opposite side to the adjacent side.<br>Formula: tan\u202f\u03b8 = Opposite \/ Adjacent<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"How_to_Construct_a_Trigonometry_Table\"><\/span>How to Construct a Trigonometry Table?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>To calculate trig values manually:<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>Use special triangles (30\u00b0-60\u00b0-90\u00b0 and 45\u00b0-45\u00b0-90\u00b0)<\/li><li>Apply Pythagoras\u2019 theorem<\/li><li>Use quadrant rules:<ul><li>Q1: All positive<\/li><li>Q2: Only sine (+)<\/li><li>Q3: Only tangent (+)<\/li><li>Q4: Only cosine (+)<\/li><\/ul><\/li><\/ol>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button aligncenter\"><a class=\"wp-block-button__link\" href=\"https:\/\/www.oliveboard.in\/test-series\/?ref=contan-ssc\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt Free Mock Tests <strong>for All Govt Exams<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Trigonometry_Table_from_0%C2%B0_to_360%C2%B0\"><\/span>Trigonometry Table from 0\u00b0 to 360\u00b0<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>The trigonometry table helps you find the values of trigonometric functions like sin, cos, tan, cot, sec, and cosec for common angles between 0\u00b0 and 360\u00b0. These values are used in solving triangles, geometry problems, and even physics equations. Here&#8217;s how the standard table looks:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Angle (\u00b0)<\/strong><\/td><td><strong>0\u00b0<\/strong><\/td><td><strong>30\u00b0<\/strong><\/td><td><strong>45\u00b0<\/strong><\/td><td><strong>60\u00b0<\/strong><\/td><td><strong>90\u00b0<\/strong><\/td><td><strong>180\u00b0<\/strong><\/td><td><strong>270\u00b0<\/strong><\/td><td><strong>360\u00b0<\/strong><\/td><\/tr><tr><td>Angle (Radians)<\/td><td>0<\/td><td>\u03c0\/6<\/td><td>\u03c0\/4<\/td><td>\u03c0\/3<\/td><td>\u03c0\/2<\/td><td>\u03c0<\/td><td>3\u03c0\/2<\/td><td>2\u03c0<\/td><\/tr><tr><td>sin \u03b8<\/td><td>0<\/td><td>1\/2<\/td><td>1\/\u221a2<\/td><td>\u221a3\/2<\/td><td>1<\/td><td>0<\/td><td>-1<\/td><td>0<\/td><\/tr><tr><td>cos \u03b8<\/td><td>1<\/td><td>\u221a3\/2<\/td><td>1\/\u221a2<\/td><td>1\/2<\/td><td>0<\/td><td>-1<\/td><td>0<\/td><td>1<\/td><\/tr><tr><td>tan \u03b8<\/td><td>0<\/td><td>1\/\u221a3<\/td><td>1<\/td><td>\u221a3<\/td><td>\u221e<\/td><td>0<\/td><td>\u221e<\/td><td>0<\/td><\/tr><tr><td>cot \u03b8<\/td><td>\u221e<\/td><td>\u221a3<\/td><td>1<\/td><td>1\/\u221a3<\/td><td>0<\/td><td>\u221e<\/td><td>0<\/td><td>\u221e<\/td><\/tr><tr><td>cosec \u03b8<\/td><td>\u221e<\/td><td>2<\/td><td>\u221a2<\/td><td>2\/\u221a3<\/td><td>1<\/td><td>\u221e<\/td><td>-1<\/td><td>\u221e<\/td><\/tr><tr><td>sec \u03b8<\/td><td>1<\/td><td>2\/\u221a3<\/td><td>\u221a2<\/td><td>2<\/td><td>\u221e<\/td><td>-1<\/td><td>\u221e<\/td><td>1<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Applications_of_the_Trigonometry_Table\"><\/span>Applications of the Trigonometry Table?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>The trigonometry table is a helpful tool used in many fields. It gives exact values of trigonometric functions like sin, cos, and tan for standard angles. Here are some common ways it&#8217;s used:<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li><strong>Solving Triangles<\/strong><br>The table helps in finding unknown sides or angles in right-angled triangles using known values of trigonometric functions.<\/li><li><strong>Engineering and Physics<\/strong><br>Engineers and scientists use trigonometry to design machines, analyze motion, calculate forces, and build structures like bridges and buildings.<\/li><li><strong>Astronomy and Navigation<\/strong><br>Astronomers use trigonometry to measure distances between stars and planets. Pilots and sailors use it to find direction and distance between locations.<\/li><li><strong>Trigonometric Identities<\/strong><br>The values in the table help in learning and applying standard trigonometric identities that simplify complex math problems.<\/li><li><strong>Calculus and Equations<\/strong><br>In advanced mathematics like calculus and differential equations, trigonometric functions are used to solve real-world problems involving waves, motion, and rates of change.<\/li><li><strong>Wave and Signal Analysis<\/strong><br>Trigonometry helps in studying sound waves, light waves, and electronic signals. It is useful in fields like music, radio, and communication.<\/li><\/ol>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button aligncenter\"><a class=\"wp-block-button__link\" href=\"https:\/\/www.oliveboard.in\/previous-year-papers\/?ref=contan-ssc\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Get All Previous Year Papers for Upcoming Govt Exams<\/strong> for Free<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Advantages_and_Limitations_of_the_Trigonometry_Table\"><\/span>Advantages and Limitations of the Trigonometry Table<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>The trigonometry table is a helpful tool for students learning trigonometry. It offers a quick way to find values of trigonometric functions for commonly used angles and helps in solving basic to moderate-level problems. However, like any tool, it has its pros and cons depending on the use case.<\/p>\n\n\n\n<p><strong>Advantages<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Quick Reference: The table allows fast lookup of trigonometric values without needing a calculator, which is helpful during exams or concept learning.<\/li><li>Ideal for Standard Angles: It provides exact values for key angles like 0\u00b0, 30\u00b0, 45\u00b0, 60\u00b0, 90\u00b0, etc., which are frequently used in problems.<\/li><li>Builds Conceptual Understanding: Helps in developing a strong understanding of sine, cosine, tangent, and their relationships, especially for beginners.<\/li><li>Supports Identity Practice: Knowing these values aids in simplifying trigonometric identities and solving related questions.<\/li><li>Helpful in Exams: Especially useful for school and entrance exams where only standard angle values are often tested.<\/li><\/ul>\n\n\n\n<p><strong>Limitations<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Limited Angle Coverage: It only includes specific angles (mostly multiples of 15 or 30), which means it\u2019s not useful for odd or decimal angles like 17\u00b0, 73\u00b0, or 112.5\u00b0.<\/li><li>No Flexibility for Real-Time Calculation: Unlike calculators, the table doesn\u2019t allow users to compute values for any angle on the spot.<\/li><li>Not Suitable for High-Precision Work: For engineering or advanced-level problems requiring high accuracy, the approximate values from the table may not be enough.<\/li><li>Doesn\u2019t Cover All Triangles: It\u2019s mainly applicable to right-angled triangles and can&#8217;t directly solve non-right triangles without additional rules like Sine Rule or Cosine Rule.<\/li><\/ul>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button aligncenter\"><a class=\"wp-block-button__link\" href=\"https:\/\/www.oliveboard.in\/upcoming-government-exams\/?ref=contan-ssc\" target=\"_blank\" rel=\"noreferrer noopener\">Upcoming Govt Exams List 2025<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Trigonometry_Table_and_Functions_-FAQs\"><\/span>Trigonometry Table and Functions -FAQs<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1752735229580\"><strong class=\"schema-faq-question\">Q1. Which six functions are included in a trigonometry table?<\/strong> <p class=\"schema-faq-answer\"><strong>Ans.<\/strong> Sine, cosine, tangent, cotangent, secant, and cosecant.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1752735244788\"><strong class=\"schema-faq-question\">Q2. What are the standard angles in a trigonometric table?<\/strong> <p class=\"schema-faq-answer\"><strong>Ans.<\/strong> 0\u00b0, 30\u00b0, 45\u00b0, 60\u00b0, 90\u00b0, 180\u00b0, 270\u00b0, and 360\u00b0.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1752735255482\"><strong class=\"schema-faq-question\">Q3. Where is the trigonometry table used in real life?<\/strong> <p class=\"schema-faq-answer\"><strong>Ans.<\/strong> In physics, engineering, construction, and astronomy.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1752735268148\"><strong class=\"schema-faq-question\">Q4. What are the limitations of the trigonometric table?<\/strong> <p class=\"schema-faq-answer\"><strong>Ans.<\/strong> It lacks flexibility for random or precise angle values.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1752735283914\"><strong class=\"schema-faq-question\">Q5. What is the value of tan 45\u00b0 and cot 45\u00b0?<\/strong> <p class=\"schema-faq-answer\"><strong>Ans.<\/strong> Both values are equal to 1.<\/p> <\/div> <\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n<ul class=\"wp-block-latest-posts__list is-grid columns-3 wp-block-latest-posts\"><li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/monthly-current-affairs\/\">Monthly Current Affairs 2026 PDF For SSC, Banking, Railways<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-cgl-study-material-formulas-area-perimeter\/\">Formulas of Area and Perimeter for SSC CGL Exam 2026<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/nabard-development-assistant-exam-analysis\/\">NABARD DA Mains Exam Analysis 2026, 12th April Review<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/rrb-maths-questions\/\">Important RRB Group D Maths Questions, Download Free PDF<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/full-forms\/\">Full Forms for Competitive Exams &#8211; Bank, SSC, Railway<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-cgl-polity-study-notes-writ-jurisdiction\/\">SSC CGL POLITY STUDY NOTES- Writ Jurisdiction in Indian Constitution<\/a><\/li>\n<\/ul>\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n","protected":false},"excerpt":{"rendered":"<p>What is Trigonometry? Trigonometry is a part of math that deals with the angles and sides of triangles. It is<\/p>\n","protected":false},"author":66,"featured_media":222637,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[12401],"class_list":["post-130281","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-articles","tag-trigonometry-table","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-50"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v26.6 (Yoast SEO v26.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Trigonometry Table, Formula, Function and Example<\/title>\n<meta name=\"description\" content=\"Learn trigonometry table values, functions, angles, and real-life applications from 0\u00b0 to 360\u00b0 in a simple format. 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