MCQ Questions for Class 10 Maths Introduction to Trigonometry

MCQ questions are an important part of the Maths CBSE examination. Chapter 8 Introduction to Trigonometry MCQs are curated with proper research in accordance with the latest curriculum and guidelines introduced by CBSE. The MCQs provide a solid conceptual knowledge and help students know the CBSE exam pattern and question paper level.Continuous and determined hard work leads to expertise. Practicing Chapter 8 Introduction to Trigonometry will help you analyze your knowledge, focus on shortcomings, enhance your speed and efficiency, and expose you to every sort of question expected to come in the CBSE exam. The more you solve MCQs, the better you learn.

Class 10 Maths Chapter 8 Introduction to Trigonometry MCQs

1. If x tan 45° sin 30° = cos 30° tan 30°, then x is equal to

A. √3
B. 1/2
C. 1/√2
D. 1

Answer: D

2. 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: D

3. sin 2B = 2 sin B is true when B is equal to

A. 90°
B. 60°
C. 30°
D. 0°

Answer: D

4. If A and (2A – 45°) are acute angles such that sin A = cos (2A – 45°), then tan A is equal to

A. 0
B. 1/√3
C. 1
D. √3

Answer: C

5. If y sin 45° cos 45° = tan² 45° – cos² 30°, then y = …

A. –1/2
B. 1/2
C. -2
D. 2

Answer: B

6. 5 tan² A – 5 sec² A + 1 is equal to

A. 6
B. -5
C. 1
D. -4

Answer: D

7. If x = a cos 0 and y = b sin 0, then b²x² + a²y² =

A. ab
B. b² + a²
C. a²b²
D. a4 b4

Answer: C

8. What is the minimum value of sin A, 0 ≤ A ≤ 90°

A. -1
B. 0
C. 1
D. 1/2

Answer: B

9. What is the minimum value of cos θ, 0 ≤ θ ≤ 90°

A. -1
B. 0
C. 1
D. 1/2

Answer: B

10. If sin A – cos A = 0, then the value of sin^4 A + cos^4 A is

A. 2
B. 1
C. 3/4
D. 1/2

Answer: D

11. If x tan 45° sin 30° = cos 30° tan 30°, then x is equal to

A. √3
B. 1/2
C. 1/√2
D. 1

Answer: D

12. 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: D

13. sin 2B = 2 sin B is true when B is equal to

A. 90°
B. 60°
C. 30°
D. 0°

Answer: D

14. (sin30° + cos30°) – (sin 60° + cos60°)

A. – 1
B. 0
C. 1
D. 2

Answer: B

15. If cos A = 4/5, then tan A = ?

A. 3/5
B. 3/4
C. 4/3
D. 4/5

Answer: B

16. The value of (tan1° tan2° tan3° … tan89°) is

A. 0
B. 1
C. 2
D. 1/2

Answer: B

17. If sin A + sin^2 A = 1, then cos^2 A + cos^4 A = ?

A. 1
B. 0
C. 2
D. 4

Answer: A

18. If cos9α = sin α and 9α < 90°, then the value of tan 5α is

A. √3
A. 1/√3
B. 0
C. 1

Answer: D