Trigonometric Identities & Equations

Grade 11 Maths — Trigonometric Identities & Equations: 25 practice questions with instant scoring and explanations.

1. The fundamental identity sin²θ + cos²θ equals:
2. 1 + tan²θ equals:
3. 1 + cot²θ equals:
4. sin(A + B) equals:
5. cos(A + B) equals:
6. sin(A - B) equals:
7. cos(A - B) equals:
8. sin(2θ) equals:
9. cos(2θ) can be written as:
10. tan(2θ) equals:
11. sin(2θ) can also be written as:
12. The identity sin(90° - θ) equals:
13. The identity cos(90° - θ) equals:
14. The identity sin(90° + θ) equals:
15. tan(A + B) equals:
16. Solve sin(x) = 1/2 for 0° ≤ x ≤ 360°:
17. Solve cos(x) = 1/2 for 0° ≤ x ≤ 360°:
18. Solve tan(x) = 1 for 0° ≤ x ≤ 360°:
19. The general solution of sin(θ) = 0 is:
20. Solve cos(x) = -1/2 for 0° ≤ x ≤ 360°:
21. The identity cosec²θ - cot²θ equals:
22. sin(180° + θ) equals:
23. cos(180° + θ) equals:
24. sin(180° - θ) equals:
25. cos(180° - θ) equals: