Trigonometric Equations MCQ Test: Trigonometric Equations MCQs - Practice Questions
1. What is the principal value of 3sin(x) = -√3?
2. Find the general solution for cos^2(x) = 1
3. Determine the values of x for which cos(2x) - 2sin(x) = 0
4. Evaluate tan(π/4)
5. Evaluate cos(π/3 - x) given that sin(x) = 1/2
6. Solve the equation: 2sin(x) + 1 = 0
7. Determine the solutions to 4tan^2(x) + tan(x) - 1 = 0
8. Evaluate cos(π/2)
9. What is the principal value of 2cos(x) = 0?
10. Solve the equation: 2sin^2(x) - 3sin(x) + 1 = 0
11. Solve the equation: 2tan(x) = -2
12. Evaluate tan^2(x) - sin^2(x) when cos(x) = 1/2
13. Find the solutions to tan(x) = √3
14. Determine the solutions to 2tan(x) = 1
15. Evaluate sin^2(x) + cos^2(x) when tan(x) = 1
16. Find the values of x for which cos(2x) = sin(x)
17. What is the value of csc(x) + cot(x) when sin(x) = 1/2?
18. What is the value of sin(3π/2) when cos(π) = -1?
19. Simplify the expression: sec^2(x) - tan^2(x)
20. What is the value of cot^2(x) + 1 when tan(x) = -1?
21. Solve the equation: 5sin(x)cos(x) = 2sin(x)
22. Evaluate cos(2x) - 2sin(x) = 1 when tan(x) = -1
23. Find the solutions to sin^2(x) - cos^2(x) = 0
24. Find the general solution for 4cos^2(x) - 1 = 0
25. Determine the solutions to 5sin(x) = 0
26. What is the principal value of 5sin(2x) + 3cos(x) = 0?
27. Determine the solutions to 2sin^2(x) - sin(x) = 0
28. Simplify the expression: cos^2(π/3) - sin^2(π/3)
29. What is the principal value of 3tan(x) - 2 = 0?
30. Evaluate cot(π/6)
31. What is the principal value of 4sin(x) = 2?
32. Simplify the expression: cos^2(x) - tan^2(x)
33. Find the general solution for sin(2x) = 1
34. Simplify the expression: sec(2x)cos(x) + tan^2(x)
35. Determine the solutions to tan^2(x) + 2tan(x) - 1 = 0
36. Determine the solutions to 2sin^2(x) + sin(x) - 1 = 0
37. Find the solutions to 3cos(x) + 2sin(x) = 0
38. Simplify the expression: sin^2(0) + cos^2(0)
39. Find the general solution for csc(x) = 1
40. What is the principal value of csc(x) = -2?
41. Find the general solution for tan^2(x) = 1
42. Solve the equation: cot(x) = 0
43. Find the values of x for which sin(x) + cos(x) = √2
44. Find the solutions to 5tan(x) = 3
45. Find the values of x for which sin(3x) + cos(2x) = 1
46. Simplify the expression: sin(x)cos(x) + cos(x)sin(x)
47. Determine the solutions to 3cos(x) = 0
48. Simplify the expression: cos(x)sec(x)
49. What is the value of tan(3x) when cot(x) = -2
50. Simplify the expression: tan^2(π/4) + cot^2(π/4)