Welcome to your Introduction to Trigonometry MCQs Mock Test of 10th Class Mathematics

1.
1. The value of cos 0°. cos 1°. cos 2°. cos 3°… cos 89° cos 90° is

2.
2. In ∆ ABC, right-angled at B, AB = 24 cm, BC = 7 cm. The value of tan C is:

3.
3. If x tan 45° sin 30° = cos 30° tan 30°, then x is equal to

4.
4. (Sin 30°+cos 60°)-(sin 60° + cos 30°) is equal to:

5.
5. If x and y are complementary angles, then

6.
6. The value of tan 60°/cot 30° is equal to:

7.
7. sin 2B = 2 sin B is true when B is equal to

8.
8. 1 – cos2A is equal to:

9.
9. If A and (2A – 45°) are acute angles such that sin A = cos (2A – 45°), then tan A is equal to

10.
10. sin (90° – A) and cos A are:

11.
11. If cos X = ⅔ then tan X is equal to:

12.
12. If cos X = a/b, then sin X is equal to:

13.
13. The value of sin 60° cos 30° + sin 30° cos 60° is:

14.
14. 2 tan 30°/(1 + tan230°) =

15.
15. sin 2A = 2 sin A is true when A =

16.
16. The value of the expression [cosec (75° + θ) – sec (15° – θ) – tan (55° + θ) + cot (35° – θ)] is

17.
17. If cos(α + β) = 0, then sin(α – β) can be reduced to

18.
18. If sin A + sin2A = 1, then the value of the expression (cos2A + cos4A) is

19.
19. If cos 9α = sinα and 9α < 90°, then the value of tan 5α is

20.
20. The value of the expression [sin2(22∘)+sin2(68∘)cos2(22∘)+cos2(68∘)+sin2(63∘)+cos 63∘ sin 27∘] is

21.
21. The value of the expression sin6θ + cos6θ + 3 sin2θ cos2θ is

22.
22. (sin30° + cos30°) – (sin 60° + cos60°)

23.
23. Value of tan30°/cot60° is:

25.
25. The value of sin θ and cos (90° – θ)

26.
26. If cos A = 4/5, then tan A = ?

27.
27. The value of the expression [cosec (75° + θ) – sec (15° - θ) – tan (55° + θ) + cot (35° - θ)] is

28.
28. The value of (tan1° tan2° tan3° ... tan89°) is

29.
29. If sin A + sin2 A = 1, then cos2 A + cos4 A = ?

30.
30. If sin A = 1/2 and cos B = 1/2, then A + B = ?

31.
31. If cos9α = sin α and 9α < 90°, then the value of tan 5α is

32.
32. If a pole 6m high casts a shadow 2√3 m long on the ground, then the sun’s elevation is

33.
33. If cos (A + B) = 0, then sin (A – B) is reduced to:

34.
Q34. If cos 9A = sin A and 9A < 90°, then the value of tan 5A is

35.
Q35. sin 2B = 2 sin B is true when B is equal to

36.
Q36. What is the maximum value of 1 cosec A ?

37.
Q37. If A and (2A – 45°) are acute angles such that sin A = cos (2A – 45°), then tan A is equal to

38.
Q38. What is the minimum value of cos θ, 0 ≤ θ ≤ 90°

39.
Q39. If y sin 45° cos 45° = tan² 45° – cos² 30°, then y = …

40.
Q40. If sin A – cos A = 0, then the value of sin4 A + cos4 A is

41.
Q41. If sin θ + sin² θ = 1, then cos² θ + cos4 θ = ..

42.
Q42. 5 tan² A – 5 sec² A + 1 is equal to

43.
Q43. If x = a cos 0 and y = b sin 0, then b²x² + a²y² =

44.
44. The value of (sin 45° + cos 45°) is

45.
45. If sin A = 1/2 , then the value of cot A is

46.
46. If ∆ABC is right angled at C, then the value of cos(A+B) is

47.
Q47. What is the minimum value of sin A, 0 ≤ A ≤ 90°

48.
Q48. The value of cos 0°. cos 1°. cos 2°. cos 3°… cos 89° cos 90° is …

49.
Q49. If x and y are complementary angles, then

50.
Q50. If in ΔABC, ∠C = 90°, then sin (A + B) =