Trigonometric Equations MCQ Test 2

1. Simplify the expression: sin^2(0) + cos^2(0)

2. Solve the equation: 4cos(2x) - 3 = 0

3. What is the value of tan(3x) when cot(x) = -2

4. Solve the trigonometric equation: sin(x) = 0.5

5. What is the principal value of csc(x) = -2?

6. Solve the equation: 5sin(x)cos(x) = 2sin(x)

7. What is the principal value of 2cos(x) = 0?

8. What is the principal value of 3tan(x) - 2 = 0?

9. Find the solutions to sin^2(x) - cos^2(x) = 0

10. Find the general solution for tan^2(x) = 1

11. Evaluate cos(π/3 - x) given that sin(x) = 1/2

12. Solve the equation: 4sin(x) = 2

13. What is the principal value of 4sin(x) = 2?

14. Determine the solutions to cot(2x) = -1

15. Determine the solutions to 5sin(x) = 0

16. Determine the solutions to 2tan(x) = 1

17. Simplify the expression: sec(2x)cos(x) + tan^2(x)

18. Evaluate cos(π/2)

19. Solve the equation: 2cos(2x) + 3sin(x) = 1

20. Find the solutions to cos(x) = 1

21. Find the general solution for 4cos^2(x) - 1 = 0

22. Determine the solutions to cos(2x) = 0

23. Find the general solution for tan(x) = -1

24. What is the principal value of 5sin(2x) + 3cos(x) = 0?

25. Simplify the expression: cos^2(π/3) - sin^2(π/3)

26. Evaluate cos(2x) - 2sin(x) = 1 when tan(x) = -1

27. Determine the solutions to 3cos(x) = 0

28. What is the principal value of 2cos(x) = √3?

29. Find the general solution for sin(2x) = 1

30. What is the principal value of 3cot(x) - 4 = 0?

31. Determine the values of x for which cos(2x) - 2sin(x) = 0

32. Simplify the expression: cos^2(x) - tan^2(x)

33. Determine the solutions to 2sin(x)cos(x) = sin(x)

34. Solve the equation: 2sin(x) = -1

35. Find the general solution for cot(2x) - 1 = 0

36. What is the value of csc(x) + cot(x) when sin(x) = 1/2?

37. Determine the solutions to tan(x) + cot(x) = 2

38. What is the value of sin(3π/2) when cos(π) = -1?

39. Find the values of x for which cos(2x) = sin(x)

40. What is the principal value of 3sin(x) = -√3?