Below you will find **MCQ Questions of Chapter 8 Introduction to Trigonometry Class 10 Maths** that will help you in gaining good marks in the examinations and also cracking competitive exams. These Class 10 MCQ Questions with answers will widen your skills and understand concepts in a better manner.

# MCQ Questions for Class 10 Maths Chapter 8 Introduction to Trigonometry with answers

1. If tanθ < 0, sinθ < 0, then the terminal arm of the angle lies in the quadrant

(a) 1

(b) 2

(c) 3

(d) 4

► (a) 1

2. In right triangle ABC, right angled at C, if tan A = 1, then the value of 2 sin A cos A is

(a) 0

(b) 1

(c) – 1

(d) 2

► (b) 1

3. If cos (α + β) = 0, then sin (α - β) can be reduced to

(a) cos β

(b) cos 2β

(c) sin α

(d) sin 2α

► (b) cos 2β

4. Given that sin A=1/2 and cos B=1/√2 then the value of (A + B) is:

(a) 30°

(b) 45°

(c) 75°

(d) 15°

► (c) 75°

5. The value of θ for which 2 cos2θ + sinθ - 2 =; 0° < θ < 90° is:

(a) 60°

(b) 10°

(c) 30°

(d) 45°

► (c) 30°

7. 7 sin^{2} θ + 3 cos^{2} θ = 4 then :

(a) tan θ = 1/√2

(b) tan θ = 1/2

(c) tan θ = 1/3

(d) tan θ = 1/√3

► (d) tan θ = 1/√3

8. If cos A + cos^{2} A = 1, then sin^{2} A + sin4 A is

(a) -1

(b) 0

(c) 1

(d) 2

► (c) 1

9. If angle A is acute and cos A = 8/17 then cot A is :

(a) 8/15

(b) 17/8

(c) 15/8

(d) 17/15

► (a) 8/15

10. An observer 1.5 m tall is 28.5 m away from.a chimney. The angle of elevation of the top of the chimney from her eyes is 45°. The height of the chimney is :

(a) 30 m

(b) 27 m

(c) 28.5 m

(d) None of these.

► (a) 30 m

11. In sin 3θ = cos (θ – 26°), where 3θ and (θ – 26°) are acute angles, then value of θ is :

(a) 30°

(b) 29°

(c) 27°

(d) 26°

► (b) 29°

12. If cosec A - cot A = 4/5, then cosec A =

(a) 47/40

(b) 59/40

(c) 51/40

(d) 41/40

► (d) 41/40

13. The value of 2 tan^{2}45°+ cos^{2}30° − sin^{2}60° is

(a) 0

(b) 1

(c) -2

(d) 2

► (d) 2

14. If sin θ − cos θ = 0, v then the value of θ is

(a) 90°

(b) 30°

(c) 45°

(d) 60°

► (c) 45°

14. If α + β = 90° and α = 2β then cos2 α + sin2 β equal :

(a) 1

(b) zero

(c) 1/2

(d) 2

► (c) 1/2

15. The value of sin 29°/ sin 61°–cos61°/ cos29°is :

(a) Zero

(b) 1

(c) 61/29

(d) 29/61

► (a) Zero

16. sin (45° + θ) - cos (45° - θ) is equal to

(a) 2 cos θ

(b) 0

(c) 2 sin θ

(d) 1

► (b) 0

17. From a point on a bridge across a river, the angles of depression of the banks on opposite sides of the river are 30° and 45° respectively. If the bridge is at a height of 3 m from the banks then the width of the river is :

(a) 3 (√3 –1)m

(b) 3 (√3 +1)m

(c) (3 + √3)m

(d) (3 – √3 )m

► (b) 3 (√3 +1)m

18. If 2 cos(A + B) = 1, and 2 sin(A –B) = 1 then the values of A and B are

(a) 15°, 22°

(b) 20°, 10°

(c) 45°, 15°

(d) 30°, 45°

► (c) 45°, 15°

19. If ΔABC is right angled at C, then the value of cos (A + B) is

(a) 0

(b) 1

(c) 1/2

(d) √3/2

► (a) 0

20. If x sin (90° – θ) cot (90°- θ) = cos (90° – θ) then x is

(a) 0

(b) -1

(c) 2

(d) 1

► (d) 1

21. The value of cos^{2} 17° – sin^{2} 73° is

(a) 0

(b) 1

(c) -1

(d) 3

► (a) 0

22. An observer √3 m tall is 3 m away from the pole 2 √3 m high. The angle of elevation of the top from the pole is :

(a) 45°

(b) 30°

(c) 60°

(d) 15°

► (b) 30°

Hope the given MCQ Questions will help you in cracking exams with good marks. These I**ntroduction to Trigonometry MCQ Questions** will help you in practising more and more questions in less time.