{"id":45508,"date":"2022-01-03T11:48:09","date_gmt":"2022-01-03T06:18:09","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=45508"},"modified":"2022-05-24T15:39:48","modified_gmt":"2022-05-24T10:09:48","slug":"ncert-solutions-for-class-10-maths-chapter-8-introduction-to-trigonometry","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-10\/maths\/chapter-8-introduction-to-trigonometry\/","title":{"rendered":"NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry"},"content":{"rendered":"<p><span data-contrast=\"auto\">Students will benefit from NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry since it will help them understand the concepts and perform well in the CBSE Class 10 first term examination. The NCERT Solutions are created and evaluated by subject specialists to ensure that they address all of the questions in the textbook. These NCERT Solutions are based on the most recent revisions to the CBSE Syllabus for 2021-22 and its accompanying guidelines, as well as the first-term exam pattern.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">The NCERT Solutions for Class 10 Maths provide a solid basis for all of the concepts covered in each chapter. Students can get answers to their questions and learn the foundations in this chapter. Students can also use these NCERT Solutions for Class 10 Maths Chapter 8 to solve the challenging problems in each exercise.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n\n\t\t<div class=\"download-pdf-container\">\n\t\t\t<span class=\"title\">Do you need help with your Homework? 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underline;\">terms and conditions<\/a> and <a target=\"_blank\" href=\"https:\/\/infinitylearn.com\/privacy\" style=\"text-decoration: underline;\">privacy policy<\/a>.<\/p>\n<p><input type=\"button\" style=\"cursor:pointer;width:auto;\" class=\"il_otp_submit\" value=\"Get OTP\" onclick=\"sendCF7OTP(this, otp_phone.value, user_name.value)\"><\/p>\n<div class=\"form-submit-btn-div\" style=\"display:none;\">\n<input type=\"submit\" value=\"Download PDF\" class=\"wpcf7-form-control has-spinner wpcf7-submit download-pdf-submit\" \/>\n<\/div>\n<\/div>\n<div class=\"wpcf7-response-output\" aria-hidden=\"true\"><\/div><\/form><\/div>\n\t\t\t\t\t<span class=\"pdf-link hidden\" data-pdf=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/securepdfs\/2022\/05\/8.-Introduction-To-Trigonometry.pdf\"><\/span>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t<div class=\"bg-overlay\"><\/div>\n\t\t<\/div>\n\t\t<a href=\"\/surge\/?pdfemb-serveurl=https%3A%2F%2Finfinitylearn.com%2Fsurge%2Fwp-content%2Fuploads%2Fsecurepdfs%2F2022%2F05%2F8.-Introduction-To-Trigonometry.pdf\" class=\"pdfemb-viewer\" style=\"\" data-width=\"max\" data-height=\"max\" data-mobile-width=\"0\"  data-scrollbar=\"both\" data-download=\"off\" data-tracking=\"on\" data-newwindow=\"on\" data-pagetextbox=\"off\" data-scrolltotop=\"on\" data-startzoom=\"100\" data-startfpzoom=\"100\" data-download-nonce=\"e8e2b243dc\" data-disablerightclick=\"on\" data-toolbar=\"top\" data-toolbar-fixed=\"on\">8. Introduction To Trigonometry<br\/><\/a>\n<p aria-level=\"2\"><b><span data-contrast=\"auto\">NCERT Solutions for Class 10 Chapter 8 \u2013 Introduction to Trigonometry<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559738&quot;:300,&quot;335559739&quot;:160,&quot;335559740&quot;:264}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Out of 80 marks (combined) for Class 10 CBSE Maths first and second terms, 12 marks are awarded to unit 5 &#8220;Trigonometry.&#8221; The paper is divided into four sections. Each section has a separate set of marks, with 1 mark, 2 marks, 3 marks, and 4 marks allocated to the questions. This chapter will most likely include at least 2-3 mandatory questions. The following are the primary themes covered in this chapter:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">8.1 Introduction<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">You&#8217;ve already learned about triangles, namely right triangles, in previous lessons. In this chapter, we&#8217;ll look at several trigonometric ratios of the angle, which are ratios of the sides of a right triangle to their acute angles. The trigonometric ratios for angles of measure 0o and 90o are also defined. We&#8217;ll calculate trigonometric ratios for some specific angles and develop trigonometric identities, which are identities incorporating these ratios.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">8.2 Trigonometric Identities<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">In previous classes, you learned about the idea of ratio. Certain ratios involving the sides of a right triangle are now referred to as trigonometric ratios. Using various Trigonometry functions, the concept is illustrated with appropriate examples.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">8.3 Trigonometric Ratios of Some Specific Angles&#8217;<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">You&#8217;re already aware of the creation of angles of <\/span>[Equation]<span data-contrast=\"auto\">from Geometry. The values of the trigonometric ratios for these angles and for<\/span>[Equation]<span data-contrast=\"auto\">will be found in this section. It uses appropriate examples to demonstrate<\/span>[Equation]<span data-contrast=\"auto\">trigonometric ratios, as well as <\/span>[Equation]<span data-contrast=\"auto\">trigonometric ratios.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">8.4 Trigonometric Ratios of Complementary Angles<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">When the total of two angles equals 90 degrees, they are said to be complimentary. Various formulas for solving numerical issues using trigonometric ratios are discussed in this topic.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">8.5 Trigonometric Identities<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">You may recall that when an equation is true for all values of the variables involved, it is termed an identity. Similarly, if an equation involving trigonometric ratios of an angle is true for all values of the angles involved, it is called a trigonometric identity. We will prove one trigonometric identity in this section and then utilize it to prove other relevant trigonometric identities.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">8.6 Summary<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">The summary is a condensed version of the principles that includes all of the key points that you&#8217;ll need to remember in order to answer numerical problems connected to the chapter.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">These NCERT Solutions for Class 10 Maths will assist students in comprehending a variety of question types and their answers, as well as crucial shortcuts and diagrammatic representations. All of the NCERT Solutions for Class 10 Maths Chapter 8 PDFs are written in plain English. Students will be able to solve complex problems with ease if they fully comprehend these solutions.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">The faculty has organized the NCERT Solutions for Class 10 in a clear manner to help students enhance their problem-solving skills. Students can use the study materials offered at INFINITY learn to get a better understanding of Introduction To Trigonometry.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<table data-tablestyle=\"Custom\" data-tablelook=\"0\" aria-rowcount=\"3\">\n<tbody>\n<tr aria-rowindex=\"1\">\n<td data-celllook=\"4369\"><i><span data-contrast=\"none\">Also Access <\/span><\/i><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:294}\"> <\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"2\">\n<td data-celllook=\"4369\"><i><span data-contrast=\"none\">NCERT Exemplar for Class 10 Maths Chapter 8 Introduction To Trigonometry  <\/span><\/i><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:294}\"> <\/span><\/td>\n<\/tr>\n<tr aria-rowindex=\"3\">\n<td data-celllook=\"4369\"><i><span data-contrast=\"none\">CBSE Notes for Class 10 Maths Chapter 8 Introduction To Trigonometry<\/span><\/i><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:294}\"> <\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">FAQ:<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">In the first term test of Class 10 Maths, list the frequently asked topics from Chapter 8 of NCERT Solutions.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Introduction to trigonometry, trigonometric identities, trigonometric ratios of some specific angles, trigonometric ratios of complementary angles, and trigonometric identities are some of the frequently questioned subjects in Chapter 8 of NCERT Solutions in the first term exam of Class 10 Maths.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Why should we use INFINITY learn&#8217;S to get NCERT Solutions for Class 10 Maths Chapter 8?<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">For the questions in NCERT Solutions for Class 10 Maths Chapter 8, INFINITY learns delivers the most exact answers. These solutions are available in PDF format and can be viewed online. Experts describe the solutions to this chapter&#8217;s problems in detail, with crisp graphics when applicable.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Is it vital to study NCERT Solutions for Class 10 Maths Chapter 8 for the exam?<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Yes, all of the chapters in NCERT Solutions for Class 10 Maths are crucial for first and second-term exams, as well as higher grades. To get good grades, students should practice all of the questions in NCERT Solutions for Class 10 Maths Chapter 8.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Students will benefit from NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry since it will help them [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry","custom_permalink":"study-materials\/ncert-solutions\/class-10\/maths\/chapter-8-introduction-to-trigonometry\/"},"categories":[19,67],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - 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