NCERT Solutions for Class 10 Maths<\/a> Chapter 8 Introduction to Trigonometry Ex 8.1 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\nNCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Exercise 8.1<\/h2>\n <\/p>\n
Question 1. \nIn \u2206ABC right angled at B, AB = 24 cm, BC = 7 cm. Determine: \n(i) sin A, cos A \n(ii) sin C, cos C \nSolution: \nWe have given that, \n\u2206ABC is a right angle \u2206, right angled at B and AB = 24 cm, BC = 7 cm \n\u2234 By Pythagoras theorem \n <\/p>\n
Question 2. \nIn given figure, find tan P – cot R. \nSolution: \nWe have given that \u2206PQR is a right angled A, right angle at Q. and PQ = 12 cm, PR = 13 cm \n\u2234 By Pythagoras theorem, we know that \n <\/p>\n
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Question 3. \nIf sin A = \\(\\frac { 3 }{ 4 }\\), calculate cos A and tan A. \nSolution: \nGiven \n <\/p>\n
Question 4. \nGiven 15 cot A = 8, find sin A and sec A. \nSolution: \n <\/p>\n
Question 5. \nGiven sec \u03b8 = \\(\\frac { 13 }{ 12 }\\) , calculate all other trigonometric ratios. \nSolution: \n <\/p>\n
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Question 6. \nIf \u2220A and \u2220B are acute angles such that cos A = cos B, then show that \u2220A = \u2220B. \nSolution: \n <\/p>\n
Question 7. \nIf cot \u03b8 = \\(\\frac { 7 }{ 8 }\\), evaluate: \n(i) \\(\\frac { \\left( 1+sin\\theta \\right) \\left( 1-sin\\theta \\right) }{ \\left( 1+cos\\theta \\right) \\left( 1-cos\\theta \\right)}\\) \n(ii) cot\u00b2\u03b8 \nSolution: \n <\/p>\n
Question 8. \nIf 3 cot A = 4, check whether \\(\\frac { 1-tan^{ 2 }A }{ 1+tan^{ 2 }A }\\) = cos\u00b2 A – sin\u00b2 A or not. \nSolution: \n <\/p>\n
Question 9. \nIn triangle ABC, right angled at B, if tan A = \\(\\frac { 1 }{ \\surd 3 }\\), find the value of: \n(i) sin A cos C + cos A sin C \n(ii) cos A cos C – sin A sin C \nSolution: \n <\/p>\n
Question 10. \nIn \u0394PQR, right-angled at Q, PR + QR = 25 cm and PQ = 5 cm. Determine the values of sin P, cos P and tan P. \nSolution: \n <\/p>\n
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Question 11. \nState whether the following statements are true or false. Justify your answer. \n(i) The value of tan A is always less than 1. \n(ii) sec A = \\(\\frac { 12 }{ 5 }\\) for some value of angle A. \n(iii) cos A is the abbreviation used for the cosecant of angle A. \n(iv) cot A is the product of cot and A. \n(v) sin \u03b8 = \\(\\frac { 4 }{ 3 }\\) for some angle. \nSolution: \n(i) tan 60\u00b0 = \u221a3 , Since \u221a3 > 1. (False) \n(ii) sec A is always \u2265 1. (True) \n(iii) cos A is the abbreviation for cosine A. (False) \n(iv) cot without \u2220A is meaningless. (False) \n(v) sin \u03b8 can never be greater than 1. \n\u2234 sin \u03b8 = \\(\\frac { P }{ H }\\), hypotenuse is always greater than other two sides. (False)<\/p>\n","protected":false},"excerpt":{"rendered":"
These NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.1 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Exercise 8.1 Question 1. In \u2206ABC right angled at B, AB = 24 cm, BC = 7 cm. Determine: …<\/p>\n
NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.1<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","spay_email":""},"categories":[2],"tags":[],"yoast_head":"\nNCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.1 - MCQ Questions<\/title>\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\t \n\t \n\t \n