MCQ Questions for Class 10 Maths: Ch 8 Introduction to Trigonometry

MCQ Questions for Class 10 Maths: Ch 8 Introduction to Trigonometry

1. 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

► (d) sec x = cosec y

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

(a) 90°

(b) 60°

(c) 30°

(d) 0°

► (d) 0°

3. 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

4. If sin θ + sin² θ = 1, then cos² θ + cos4 θ = ____

(a) -1

(b) 0

(c) 1

(d) 2

► (c) 1

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

(a) ab

(b) b² + a²

(c) a²b²

(d) a⁴b⁴

► (c) a²b²

6. If cos A + cos² A = 1, then sin² A + sin⁴ A is
(a) -1
(b) 0
(c) 1
(d) 2
► (c) 1

7. The value of cos θ cos(90° - θ) – sin θ sin (90° - θ) is:

(a) 1

(b) 0

(c) -1

(d) 2
► (b) 0

8. If tan 2A = cot (A – 18°), then the value of A is

(a) 24°

(b) 18°

(c) 27°

(d) 36°

► (d) 36°

9. If tan θ = 12/5, then 1+sinθ/1-sinθ  is equal to

(a) 24

(b) 12/13

(c) 25

(d) 9

► (c) 25

10. If sin θ − cos θ = 0, vthen the value of θ is

(a) 90°

(b) 30°

(c) 45°

(d) 60°

► (c) 45°

11. Ratios of sides of a right triangle with respect to its acute angles are known as

(a) trigonometric identities

(b) trigonometry

(c) trigonometric ratios of the angles

(d) none of these

► (c) trigonometric ratios of the angles

12. Out of the following options, the two angles that are together classified as complementary angles are

(a) 120° and 60°

(b) 50° and 30°

(c) 65° and 25°

(d) 70° and 30°

► (c) 65° and 25°

13. (1 + tanθ + secθ) (1 + cotθ - cosecθ) is equal to

(a) 0

(b) 1

(c) 2

(d) -1

► (c) 2

14. If √3tanθ = 3sinθ, then the value of sin²θ−cos²θ is

(a) 0

(b) 1

(c) 1/2

(d) 1/3

► (d) 1/3

15. 7 sin²θ + 3 cos²θ = 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

16. If sin A = 1/2,  then the value of cot A is

(a) √3

(b) 1/√3

(c) √3/2

(d) 1

► (a) √3

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

(a) 1/√3

(b) √3

(c) 1

(d) 0

► (c) 1

18. 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°

19. If sin x + cosec x = 2, then sin¹⁹x + cosec²⁰x =

(a) 2¹⁹

(b) 2²⁰

(c) 2

(d) 2³⁹

►(c) 2

20. 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

21. If cos (40° + A) = sin 30°, the value of A is:​

(a) 60°

(b) 20°

(c) 40°

(d) 30°

► (b) 20°

22. If 0° < θ < 90°, then sec 0 is 

(a) >1

(b) < 1

(c) =1

(d) 0

► (a) >1

23. 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

24. sin (45° + θ) – cos (45° – θ) is equal to

(a) 2 cos θ

(b) 0

(c) 2 sin θ

(d) 1

► (b) 0