Advanced Trigonometric Identities and Equations MCQ Test 2

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

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

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

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

5. If tan(C) = -√3, find cos(C)

6. If sec(B) = 2, find cos(B)

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

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

9. Simplify the expression: cos(75°) * tan(15°)

10. Evaluate tan(105°) * sin(15°)

11. Evaluate cos(45°) * sin(30°)

12. Solve for x: cot²(x) = 1

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

14. If tan(H) = -√3/3, find sin(H)

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

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

17. If tan(E) = -1/√3, find cos(E)

18. Solve for x: cos(3x) = 0

19. If cos(C) = 0.3, find sin(C)

20. Find the solution set for sin(x) = -0.9

21. Find the solution set for cos(2x) = -0.6

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

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

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

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

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

27. Evaluate cos(30°) * tan(45°)

28. Simplify the expression: cot(45°) * sin(30°)

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

30. Evaluate cos(0) + tan(45°)

31. Determine the period of the function g(x) = 2sin(5x)

32. Solve for x: sec(2x) = -2

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

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

35. Simplify the expression: sin(45°) + cos(45°)

36. Find the amplitude of the function f(x) = 3cos(4x)

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

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

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

40. Evaluate tan(45°) * cos(60°)