MCQ Questions for Class 10 Maths Introduction to Trigonometry with Answers

Free PDF Download of CBSE Class 10 Maths Chapter 8 Introduction to Trigonometry Multiple Choice Questions with Answers. MCQ Questions for Class 10 Maths with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 10 Maths Introduction to Trigonometry MCQs with Answers to know their preparation level.

Class 10 Maths MCQs Chapter 8 Introduction to Trigonometry

1. The value of cos 0°. cos 1°. cos 2°. cos 3°… cos 89° cos 90° is
(a) 1
(b) -1
(c) 0
(d) \(\frac{1}{\sqrt{2}}\)

Answer

Answer: c


2. If x tan 45° sin 30° = cos 30° tan 30°, then x is equal to
(a) √3
(b) \(\frac{1}{2}\)
(c) \(\frac{1}{\sqrt{2}}\)
(d) 1

Answer

Answer: d


3. If x and y are complementary angles, then
(a) sin x = sin y
(b) tan x = tan y
(c) cos x = cos y
(d) sec x = cosec y

Answer

Answer: d


4. sin 2B = 2 sin B is true when B is equal to
(a) 90°
(b) 60°
(c) 30°
(d) 0°

Answer

Answer: d


5. If A, B and C are interior angles of a ΔABC then \(\cos \left(\frac{\mathrm{B}+\mathrm{C}}{2}\right)\) is equal to
MCQ Questions for Class 10 Maths Introduction to Trigonometry with Answers 1

Answer

Answer: a


6. If A and (2A – 45°) are acute angles such that sin A = cos (2A – 45°), then tan A is equal to
(a) 0
(b) \(\frac{1}{\sqrt{3}}\)
(c) 1
(d) √3

Answer

Answer: c


7. If y sin 45° cos 45° = tan2 45° – cos2 30°, then y = …
(a) –\(\frac{1}{2}\)
(b) \(\frac{1}{2}\)
(c) -2
(d) 2

Answer

Answer: b


8. If sin θ + sin² θ = 1, then cos² θ + cos4 θ = ..
(a) -1
(b) 0
(c) 1
(d) 2

Answer

Answer: c


9. 5 tan² A – 5 sec² A + 1 is equal to
(a) 6
(6) -5
(c) 1
(d) -4

Answer

Answer: d


10. If sec A + tan A = x, then sec A =
MCQ Questions for Class 10 Maths Introduction to Trigonometry with Answers 2

Answer

Answer: d


11. If sec A + tan A = x, then tan A =
MCQ Questions for Class 10 Maths Introduction to Trigonometry with Answers 3

Answer

Answer: b


MCQ Questions for Class 10 Maths Introduction to Trigonometry with Answers 4

Answer

Answer: b


13. If x = a cos 0 and y = b sin 0, then b2x2 + a2y2 =
(a) ab
(b) b² + a²
(c) a²b²
(d) a4b4

Answer

Answer: c


14. What is the maximum value of \(\frac{1}{\csc A}\)?
(a) 0
(b) 1
(c) \(\frac{1}{2}\)
(d) 2

Answer

Answer: b


15. What is the minimum value of sin A, 0 ≤ A ≤ 90°
(a) -1
(b) 0
(c) 1
(d) \(\frac{1}{2}\)

Answer

Answer: b


16. What is the minimum value of cos θ, 0 ≤ θ ≤ 90°
(a) -1
(b) 0
(c) 1
(d) \(\frac{1}{2}\)

Answer

Answer: b


17. Given that sin θ = \(\frac{a}{b}\) , then tan θ =
MCQ Questions for Class 10 Maths Introduction to Trigonometry with Answers 5

Answer

Answer: c


18. If cos 9A = sin A and 9A < 90°, then the value of tan 5A is
(a) 0
(b) 1
(c) \(\frac{1}{\sqrt{3}}\)
(d) √3

Answer

Answer: b


19. If in ΔABC, ∠C = 90°, then sin (A + B) =
(a) 0
(b) 1/2
(c) \(\frac{1}{\sqrt{2}}\)
(d) 1

Answer

Answer: d


20. If sin A – cos A = 0, then the value of sin4 A + cos4 A is
(a) 2
(b) 1
(c) \(\frac{3}{4}\)
(d) \(\frac{1}{2}\)

Answer

Answer: d


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