Advanced Trigonometric Identities and Equations MCQ Test 1

1. Determine the exact value of sin(105°)

2. Determine the amplitude of the function g(x) = 4sin(2x)

3. If cot(B) = -1, find sin(B)

4. Evaluate cos(30°) * tan(45°)

5. Solve for x: sin(x) = 0.5

6. Solve for x: tan²(x) = 1

7. Evaluate cos(75°) * sin(15°)

8. Simplify the expression: cos(45°) * tan(30°)

9. Evaluate tan(45°) * cos(60°)

10. Find the value of sin(30°) * cos(60°)

11. Evaluate cos(45°) * sin(30°)

12. Express tan(3x) in terms of tan(x)

13. Simplify the expression: tan²(x) + 1

14. Simplify the expression: cos²(x) - sin²(x)

15. Find the value of cot(60°) * sec(45°)

16. Find the value of tan(45°) * cos(60°)

17. If sec(E) = 5, find tan(E)

18. Find the period of the function g(x) = 3cos(5x)

19. Solve for x: cot²(x) = 1

20. Solve the equation: tan(x) = 1

21. Determine the amplitude of the function f(x) = 4sin(2x)

22. Determine the period of the function f(x) = 2sin(3x)

23. Solve for x: sin(2x) = 0

24. Simplify the expression: sin²(x) + cos²(x)

25. Express sin(3x) in terms of sin(x)

26. Evaluate cos(0) + tan(45°)

27. If sin(F) = 0.6, find cos(F)

28. If tan(E) = -1/√3, find cos(E)

29. Evaluate tan(105°) * sin(15°)

30. If tan(D) = 1/3, find cot(D)

31. Evaluate tan(75°) * cos(15°)

32. If cos(E) = 0.6, find sin(E)

33. If cot(D) = -2, find sin(D)

34. Solve for x: cos(2x) = 0

35. Evaluate cot(30°) * sin(60°)

36. If cos(I) = 0.3, find sin(I)

37. If sin(F) = -0.8, find cos(F)

38. If cot(D) = -√2, find sin(D)

39. Solve for x: tan²(x) + 1 = 0

40. Find the solution set for sin(x) = -0.5

41. If tan(C) = -√3, find cos(C)

42. Determine the exact value of sin(150°)

43. Find the value of cot(30°) * sec(60°)

44. Determine the range of the function h(x) = -3sin(x)

45. If sec(G) = -1.5, find cos(G)

46. Express sin(2x) in terms of sin(x)

47. If sec(A) = -2, find cos(A)

48. Solve for x: cot(x) = 0

49. Find the solution set for cos(x) = -0.8

50. If sin(A) = 0.8, find cos(A)