SSC CAPFS and DP - trigonometric ratios, degree and radian measures, standard identities Online Test (MCQ Quiz)

1. What is the value of sin(30°)?

A) 1/2 B) √3/2 C) 1/√2 D) 1

2. What is the value of cos(60°)?

A) 1/2 B) √3/2 C) 1/√2 D) 0

3. What is the value of tan(45°)?

A) 1/√3 B) 1 C) √3 D) 0

4. What is the value of sin(90°)?

A) 0 B) 1/2 C) 1/√2 D) 1

5. What is the value of cos(0°)?

A) 0 B) 1/2 C) 1/√2 D) 1

6. What is the value of tan(0°)?

A) 0 B) 1/√3 C) 1 D) Undefined

7. What is the value of sin(60°)?

A) 1/2 B) √3/2 C) 1/√2 D) 0

8. What is the value of cos(30°)?

A) 1/2 B) √3/2 C) 1/√2 D) 0

9. What is the value of tan(60°)?

A) 1/√3 B) 1 C) √3 D) 0

10. What is the value of sin(45°)?

A) 1/2 B) √3/2 C) 1/√2 D) 0

11. What is the value of cos(45°)?

A) 1/2 B) √3/2 C) 1/√2 D) 1

12. What is the value of tan(30°)?

A) 1/√3 B) 1 C) √3 D) 0

13. What is the Pythagorean identity relating sine and cosine?

A) sin²θ + cos²θ = 1 B) sin²θ - cos²θ = 1 C) cos²θ - sin²θ = 1 D) sinθ + cosθ = 1

14. Which identity is derived from sin²θ + cos²θ = 1 by dividing by cos²θ?

A) 1 + tan²θ = sec²θ B) 1 + cot²θ = cosec²θ C) tan²θ + sec²θ = 1 D) cot²θ + cosec²θ = 1

15. Which identity is derived from sin²θ + cos²θ = 1 by dividing by sin²θ?

A) 1 + tan²θ = sec²θ B) 1 + cot²θ = cosec²θ C) tan²θ + sec²θ = 1 D) cot²θ + cosec²θ = 1

16. What is the value of sin(180°)?

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

17. What is the value of cos(180°)?

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

18. What is the value of tan(180°)?

A) 0 B) 1 C) -1 D) Undefined

19. What is the value of sin(270°)?

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

20. What is the value of cos(270°)?

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

21. What is the value of tan(270°)?

A) 0 B) 1 C) -1 D) Undefined

22. What is the value of sin(360°)?

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

23. What is the value of cos(360°)?

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

24. What is the value of tan(360°)?

A) 0 B) 1 C) -1 D) Undefined

25. Convert 90° to radians.

A) π/4 radians B) π/2 radians C) π radians D) 2π radians

26. Convert 180° to radians.

A) π/4 radians B) π/2 radians C) π radians D) 2π radians

27. Convert π radians to degrees.

A) 90° B) 180° C) 270° D) 360°

28. Convert π/2 radians to degrees.

A) 90° B) 180° C) 270° D) 360°

29. Convert 45° to radians.

A) π/4 radians B) π/2 radians C) π radians D) 2π radians

30. Convert 30° to radians.

A) π/6 radians B) π/3 radians C) π/2 radians D) π radians

31. Convert 60° to radians.

A) π/6 radians B) π/3 radians C) π/2 radians D) π radians

32. Convert 2π radians to degrees.

A) 90° B) 180° C) 270° D) 360°

33. Convert 3π/2 radians to degrees.

A) 90° B) 180° C) 270° D) 360°

34. What is the value of sin(150°)?

A) 1/2 B) √3/2 C) 1/√2 D) 0

35. What is the value of cos(120°)?

A) 1/2 B) -1/2 C) √3/2 D) -√3/2

36. What is the value of tan(135°)?

A) 1 B) -1 C) √3 D) -√3

37. What is the value of sin(210°)?

A) 1/2 B) -1/2 C) √3/2 D) -√3/2

38. What is the value of cos(240°)?

A) 1/2 B) -1/2 C) √3/2 D) -√3/2

39. What is the value of tan(300°)?

A) √3 B) -√3 C) 1/√3 D) -1/√3

40. What is sin(30° + 60°)?

A) sin(30°) + sin(60°) B) cos(30°) + cos(60°) C) sin(90°) D) cos(90°)

41. What is cos(90° - 30°)?

A) sin(30°) B) cos(30°) C) tan(30°) D) sec(30°)

42. What is sin(90° - θ)?

A) cos(θ) B) sin(θ) C) tan(θ) D) sec(θ)

43. What is cos(90° - θ)?

A) sin(θ) B) cos(θ) C) tan(θ) D) cosec(θ)

44. What is tan(90° - θ)?

A) cot(θ) B) tan(θ) C) sin(θ) D) cos(θ)

45. What is sin(180° - θ)?

A) sin(θ) B) -sin(θ) C) cos(θ) D) -cos(θ)

46. What is cos(180° - θ)?

A) cos(θ) B) -cos(θ) C) sin(θ) D) -sin(θ)

47. What is tan(180° - θ)?

A) tan(θ) B) -tan(θ) C) cot(θ) D) -cot(θ)

48. What is sin(180° + θ)?

A) sin(θ) B) -sin(θ) C) cos(θ) D) -cos(θ)

49. What is cos(180° + θ)?

A) cos(θ) B) -cos(θ) C) sin(θ) D) -sin(θ)

50. What is tan(180° + θ)?

A) tan(θ) B) -tan(θ) C) cot(θ) D) -cot(θ)

trigonometric ratios, degree and radian measures, standard identities - Online Test

Test Results