Trigonometric Identities – Sum & Difference Formulae

Grade 11 Maths Higher — Trigonometric Identities – Sum & Difference Formulae: 25 practice questions with instant scoring and explanations.

1. sin(A + B) =
2. cos(A - B) =
3. tan(A + B) =
4. The value of sin 75° is:
5. cos 15° =
6. sin(A - B) =
7. cos(A + B) =
8. tan(A - B) =
9. The value of tan 105° is:
10. sin 105° =
11. If A = 30° and B = 15°, then sin(A + B) =
12. cos 105° =
13. If sin A = 3/5 (A in 1st quadrant) and cos B = 5/13 (B in 1st quadrant), then sin(A + B) =
14. The product-to-sum formula sin A + sin B =
15. cos A - cos B =
16. sin A + cos A = √2 sin(A + θ), where θ =
17. If tan A = 1/2 and tan B = 1/3, then tan(A + B) =
18. The formula sin(A + B) sin(A - B) =
19. If tan A = 2 and A is acute, then sin(A + 45°) =
20. cos(π/4 + θ) - cos(π/4 - θ) =
21. The value of sin 20° sin 40° sin 80° =
22. cot(A + B) =
23. If A + B = 45°, then (1 + tan A)(1 + tan B) =
24. sin 18° cos 27° + cos 18° sin 27° =
25. tan 75° =