Trigonometric Equations – General Solutions

Grade 11 Maths Higher — Trigonometric Equations – General Solutions: 25 practice questions with instant scoring and explanations.

1. The general solution of sin x = 0 is:
2. The general solution of cos x = 1 is:
3. The general solution of tan x = 1 is:
4. The general solution of sin x = sin α is:
5. The general solution of cos x = cos α is:
6. The general solution of tan x = tan α is:
7. Solve 2 sin x = √3:
8. Solve cos 2x = 1/2:
9. The general solution of sin x = -1/2 is:
10. Solve tan x = √3:
11. The number of solutions of sin x = 1/2 in [0, 2π) is:
12. Solve 2 cos x - 1 = 0 in [0, 2π):
13. The general solution of cos x = 0 is:
14. Solve sin 2x = cos x in [0, π):
15. The number of solutions of tan x = cot x in (0, π) is:
16. Solve sin²x = sin x in [0, 2π):
17. For the equation 2 sin²x - sin x - 1 = 0, the general solution is:
18. Solve √3 sin x - cos x = 1:
19. In [0, 2π), the solutions of cos x = sin x are:
20. The general solution of cosec x = -2 is:
21. Solve tan²x = 1 in [0, π):
22. The number of solutions of 2 cos 2x + 1 = 0 in [0, π] is:
23. Solve sin x + sin 3x = 0 in [0, 2π):
24. The general solution of sec x = -2 is:
25. The general solution of cot x = √3 is: