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12/20/21, 8:22 PM, , HSC Science (General), 12th Board Exam, , SCERT Maharashtra Question Bank solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtr…, , Question Papers, , Textbook Solutions, , MCQ Online Tests, , Important Solutions, , Question Bank Solutions, , Concept Notes & Vid, , My Profile, why create a profile on, 1. Inform you about ti, , Remove all ads, , Advertisement, , 2. Inform you about ne, 3. New video tutorials, , SCERT Maharashtra Question Bank solutions for 12th Standard HSC Mathematics and, Statistics (Arts and Science) Maharashtra State Board 2021 chapter 1 - Trigonometric, Functions [Latest edition], , Login / Register, , ONLINE MOCK TESTS, Mathematics and Statistics (Science) Test 01, , Mathematics and Statistics (Science) Test 02, 30:00, , 20 questions, , Mathematics and Statistics (Science) Test 03, , 30:00, , 20 questions, , Mathematics and Statistics (Science) Test 04, 30:00, , 20 questions, , 30:00, , 20 questions, , CHAPTERS, 1.3 - Trigonometric Functions, , Remove all ads, , Advertisement, , Chapter 1: Trigonometric Functions, MCQ, , Very Short Answers, , Short Answers I, , Short Answers II, , Long Answers III, Remove all ads, , Advertisement, , MCQ, SCERT Maharashtra Question Bank solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2021 Chapter 1 Trigonometric, FunctionsMCQ, , 2 marks each, MCQ | Q 1, , The principal solutions of √3 sec x − 2 = 0 are ______, π, , X, , 11π, ,, , 3, π, , 6, 11π, ,, , 6, , 6, , π, , 11π, , ,, , 4, , 4, , π, , 11π, , ,, , HSC Science (General), 6, 3, 12th Board Exam, , Question Papers, , Textbook Solutions, , VIEW SOLUTION, , MCQ | Q 2, , MCQ Online Tests, , Important Solutions, , Question Bank Solutions, , Concept Notes & Vid, , My Profile, why create a profile on, , https://www.shaalaa.com/textbook-solutions/c/scert-maharashtra-question-bank-solutions-12th-standard-hsc-mathematics-and-statistics-arts-and-scie…, , 1/9
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12/20/21, 8:22 PM, , SCERT Maharashtra Question Bank solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtr…, , why create a profile on, , MCQ | Q 2, , In ∆ABC, if cos A =, , sin, , B, , 2 sin, , C, , 1. Inform you about ti, 2. Inform you about ne, , , then ∆ABC is ______, , 3. New video tutorials, , an equilateral triangle, , Login / Register, , a right angled triangle, an isosceles triangle, an isosceles right angled triangle, VIEW SOLUTION, , MCQ | Q 3, , sin−1x − cos−1x =, , π, , , then x = ______, , 6, 1, 2, √3, 2, 1, −, 2, −, , √3, 2, , VIEW SOLUTION, , MCQ | Q 4, , The principal value of sin−1(, , 1, ), 2, , is ______, , π, 3, π, 6, 2π, 3, 3π, 2, , VIEW SOLUTION, , MCQ | Q 5, , The principal value of cos−1(−, , 1, ), 2, , is ______, , π, 3, π, , X, , 6, 2π, 3, 3π, 2, , VIEW SOLUTION, , MCQ | Q 6, , HSC Science (General), 12th Board Exam, , Question Papers, , Textbook Solutions, , MCQ Online Tests, , In ∆ABC, if ∠A = 30°, ∠B = 60°, then the ratio of sides is ______, , Important Solutions, , Question Bank Solutions, , Concept Notes & Vid, , My Profile, , 1 : √3 : 2, , why create a profile on, , 2 : √3 : 1, , 1. Inform you about ti, , √3 : 1 : 2, , 2. Inform you about ne, 3. New video tutorials, , √3 : 2 : 1, , Login / Register, VIEW SOLUTION, , MCQ | Q 7, , https://www.shaalaa.com/textbook-solutions/c/scert-maharashtra-question-bank-solutions-12th-standard-hsc-mathematics-and-statistics-arts-and-scie…, , 2/9
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12/20/21, 8:22 PM, , SCERT Maharashtra Question Bank solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtr…, , In ∆ABC, if b2 + c2 − a2 = bc, then ∠A = ______, π, 4, π, 3, π, 2, π, 6, , VIEW SOLUTION, , MCQ | Q 8, , If polar co-ordinates of a point are (, 3, , (, , 3, , ,−, , 4√ 2, , 3, , 3π, ,, , 4, , ), 4, , , then its Cartesian co-ordinate are ______, , ), , 4√ 2, , 3, , 3, , (, , ,, , ), , 4√ 2, , 4√ 2, , 3, , 3, , (−, , ,, , ), , 4√ 2, , 4√ 2, , 3, , 3, , (−, , ,−, 4√ 2, , ), 4√ 2, , VIEW SOLUTION, , MCQ | Q 9, 7π, , −1, , tan, , (tan, , ), 6, , −, π, , = ______, , π, 6, , 6, 13π, 6, 5π, 6, , X, , VIEW SOLUTION, , MCQ | Q 10, , If sin(sin, , −1, , 1, , (, , −1, , ) + cos, , (x)), , 5, , = 1, then x = ______, , 1, , HSC Science (General), 5, 12th Board, Exam, , Question Papers, , Textbook Solutions, , MCQ Online Tests, , Important Solutions, , Question Bank Solutions, , Concept Notes & Vid, , 1, , −, , My Profile, , 5, , 5, , why create a profile on, , −5, , 1. Inform you about ti, 2. Inform you about ne, , VIEW SOLUTION, , 3. New video tutorials, , Login / Register, , VERY SHORT ANSWERS, SCERT Maharashtra Question Bank solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2021 Chapter 1 Trigonometric, FunctionsVery Short Answers, , 1 Mark, https://www.shaalaa.com/textbook-solutions/c/scert-maharashtra-question-bank-solutions-12th-standard-hsc-mathematics-and-statistics-arts-and-scie…, , 3/9
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12/20/21, 8:22 PM, , SCERT Maharashtra Question Bank solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtr…, , Very Short Answers | Q 1, , Evaluate cot(tan−1(2x) + cot−1(2x)), VIEW SOLUTION, , Very Short Answers | Q 2, , In ∆ABC, prove that ac cos B − bc cos A = a2 − b2, VIEW SOLUTION, , Very Short Answers | Q 3, , In ∆ABC, if sin2A + sin2B = sin2C, then show that a2 + b2 = c2, VIEW SOLUTION, , Very Short Answers | Q 4, , Find the polar co-ordinates of point whose Cartesian co-ordinates are (1√3), VIEW SOLUTION, , Very Short Answers | Q 5, , Prove that 2 tan, , 3, , −1, , (, , −1, , ) = tan, , 24, , (, , 4, , ), 7, , VIEW SOLUTION, , Very Short Answers | Q 6, , Evaluate sin[cos, , −1, , X, , 3, , (, , )], 5, , VIEW SOLUTION, , Very Short Answers | Q 7, , In ΔABC, a = 3, b = 4 and sin A =, , 3, , HSC Science (General), 12th Board Exam, , 4, , Question Papers, , , find ∠B, , Textbook Solutions, , VIEW SOLUTION, , MCQ Online Tests, , Important Solutions, , Question Bank Solutions, , Concept Notes & Vid, , My Profile, Very Short Answers | Q 8, , why create a profile on, , Find the principal solutions of cosec x = 2, , 1. Inform you about ti, 2. Inform you about ne, 3. New video tutorials, , VIEW SOLUTION, , Login / Register, Very Short Answers | Q 9, , Find the principal solutions of sin x − 1 = 0, VIEW SOLUTION, , Very Short Answers | Q 10, , Find the Cartesian co-ordinates of point whose polar co-ordinates are (4,, , π, , ), , 3, , VIEW SOLUTION, , SHORT ANSWERS I, SCERT Maharashtra Question Bank solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2021 Chapter 1 Trigonometric, FunctionsShort Answers I, , https://www.shaalaa.com/textbook-solutions/c/scert-maharashtra-question-bank-solutions-12th-standard-hsc-mathematics-and-statistics-arts-and-scie…, , 4/9
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12/20/21, 8:22 PM, , SCERT Maharashtra Question Bank solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtr…, , FunctionsShort Answers I, , 2 Marks each, Short Answers I | Q 1, , With usual notations, prove that, , cos, , A, , a, , cos, +, , B, , b, , cos, +, , C, , c, , a, , 2, , =, , b, , +, , 2, , +, , c, , 2, , abc, , 2, , VIEW SOLUTION, , Short Answers I | Q 2, , Find the principal solutions of cos 2𝑥 = 1, VIEW SOLUTION, , Short Answers I | Q 3, , In ∆ABC, prove that (b − c), , 2, , 2, , cos (, , A, , b + c), , ) + (, , 2, , 2, , 2, , sin (, , A, , ), , = a2, , 2, , VIEW SOLUTION, , Short Answers I | Q 4, , Find the principal solutions of sin x = −, , X, , 1, 2, , VIEW SOLUTION, , Short Answers I | Q 5, , Find the value of cos, , 1, , −1, , HSC Science (General), 12th Board Exam, , (, , −1, , ) + tan, , 2, , Question Papers, , (, , 1, √3, , ), , Textbook Solutions, , MCQ Online Tests, , Important Solutions, , Question Bank Solutions, , Concept Notes & Vid, , VIEW SOLUTION, , My Profile, Short Answers I | Q 6, , why create a profile on, , In ∆ABC, if a = 13, b = 14, c = 15, then find the value of cos B, VIEW SOLUTION, , 1. Inform you about ti, 2. Inform you about ne, 3. New video tutorials, , Login / Register, , Short Answers I | Q 7, , In ∆ABC, if, , cos, , A, , a, , B, , cos, =, , b, , , then show that it is an isosceles triangle, , VIEW SOLUTION, , Short Answers I | Q 8, , Find the principal solutions of tan x = −√3, VIEW SOLUTION, , Short Answers I | Q 9, , Evaluate cos[, , π, , −1, , + cos, 6, , √3, , (−, , )], 2, , VIEW SOLUTION, , SHORT ANSWERS II, SCERT Maharashtra Question Bank solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2021 Chapter 1 Trigonometric, , https://www.shaalaa.com/textbook-solutions/c/scert-maharashtra-question-bank-solutions-12th-standard-hsc-mathematics-and-statistics-arts-and-scie…, , 5/9
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12/20/21, 8:22 PM, , SCERT Maharashtra Question Bank solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtr…, , FunctionsShort Answers II, , 3 Marks, Short Answers II | Q 1, , In ΔABC, if a cos A = b cos B, then prove that ΔABC is either a right angled or an isosceles triangle, VIEW SOLUTION, , Short Answers II | Q 2, , In ∆ABC, prove that, , cos 2, , A, , a, , 2, , cos 2, −, , c, , c, , 2, , 1, =, , a, , 2, , 1, −, , c, , 2, , VIEW SOLUTION, , X, Short Answers II | Q 3, , If tan−1x + tan−1y + tan−1z = π, then show that, , 1, , 1, +, , xy, , 1, +, , yz, , zx, , =1, , VIEW SOLUTION, Short Answers II | Q 4, 2, 2, HSC Science (General), 1 − x, 1 − x, −1, −1, Question, Papers) +, MCQ, Online Tests, Textbook, Solutions, Prove, that, (, cos, (, )] = 1, 12th Board, Examsin [tan, , 2x, , 1 + x, , Important Solutions, , Question Bank Solutions, , Concept Notes & Vid, , 2, , My Profile, , VIEW SOLUTION, , why create a profile on, 1. Inform you about ti, , Short Answers II | Q 5, , In ∆ABC, if, , 2 cos, , 2. Inform you about ne, , A, , a, , +, , cos, , b, , B, , +, , 2 cos, , C, , c, , =, , a, bc, , +, , b, ca, , , then show that the triangle is a right angled, , 3. New video tutorials, , Login / Register, , VIEW SOLUTION, , Short Answers II | Q 6, , In ∆ABC, prove that sin, , (, , A−B, , ) = (, , 2, , a−b, c, , ) cos(, , C, , ), , 2, , VIEW SOLUTION, , Short Answers II | Q 7, , If the angles A, B, C of ΔABC are in A.P. and its sides a, b, c are in G.P., then show that a2, b2, c2 are in A.P., VIEW SOLUTION, , Short Answers II | Q 8, , Prove that cot−1(7) + 2 cot−1(3) =, , π, 4, , VIEW SOLUTION, , LONG ANSWERS III, SCERT Maharashtra Question Bank solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2021 Chapter 1 Trigonometric, FunctionsLong Answers III, , 4 Marks, Long Answers III | Q 1, , https://www.shaalaa.com/textbook-solutions/c/scert-maharashtra-question-bank-solutions-12th-standard-hsc-mathematics-and-statistics-arts-and-scie…, , 6/9
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12/20/21, 8:22 PM, , SCERT Maharashtra Question Bank solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtr…, , In ∆ABC, prove that, , 2, , cos, , A − cos B, 2, , 2, , cos, +, , a+b, , B − cos C, 2, , 2, , cos, +, , b+c, , C − cos A, 2, , c+a, , =0, , VIEW SOLUTION, , Long Answers III | Q 2, , Show that sin, , 3, , −1, , (, , 8, , −1, , ) + sin, , ) = cos, , 5, , 36, , −1, , (, , (, , 17, , ), 85, , X, , VIEW SOLUTION, , Long Answers III | Q 3, , a, , B − C), , 2, , In ΔABC, prove that, , sin, , HSC Science (General), 12th Board Exam, , b, , sin(, , 2, , C − A), , A, , c, , 2, , sin(, , +, sin, , A − B), , sin(, , +, , B, , sin, , VIEWPapers, SOLUTION, Question, Textbook Solutions, , C, , MCQ Online Tests, , Important Solutions, , Question Bank Solutions, , Concept Notes & Vid, , My Profile, , Long Answers III | Q 4, , In ΔABC, prove that, , b, , 2, , −, , a, , c, , 2, , c, , 2, , cos, , A+, , −, , b, , a, , 2, , a, , 2, , B+, , cos, , −, , b, , c, , 2, , cos, , C=0, , why create a profile on, 1. Inform you about ti, 2. Inform you about ne, 3. New video tutorials, , VIEW SOLUTION, , Login / Register, , Long Answers III | Q 5, , Prove that 2 tan, , −1, , 1, , (, , −1, , ) + tan, , 1, , (, , 8, , −1, , ) + 2 tan, , 1, , (, , 7, , π, ) =, , 5, , 4, , VIEW SOLUTION, , Long Answers III | Q 6, , In ∆ABC, if ∠A =, , π, 2, , , then prove that sin(B − C) =, , b, , 2, , b, , 2, , −, , c, , +, , c, , 2, , 2, , VIEW SOLUTION, , Long Answers III | Q 7, , If cos–1x + cos–1y – cos–1z = 0, then show that x2 + y2 + z2 – 2xyz = 1, VIEW SOLUTION, , Chapter 1: Trigonometric Functions, MCQ, , Very Short Answers, , Short Answers I, , Short Answers II, , Long Answers III, , https://www.shaalaa.com/textbook-solutions/c/scert-maharashtra-question-bank-solutions-12th-standard-hsc-mathematics-and-statistics-arts-and-scie…, , 7/9
