Inverse Trigonometric Functions - Problems

Grade 12 Maths Higher — Inverse Trigonometric Functions - Problems: 25 practice questions with instant scoring and explanations.

1. Solve: sin⁻¹(x) = tan⁻¹(1) + cos⁻¹(1/2)
2. Find x if tan⁻¹(x) + tan⁻¹(2x) = π/4
3. The value of sin⁻¹(sin(5π/3)) is:
4. If tan⁻¹(a) + tan⁻¹(b) = π/2, then ab =
5. Solve tan⁻¹(x-1) + tan⁻¹(x+1) = tan⁻¹(4)
6. The value of sin⁻¹(√3/2) + cos⁻¹(√3/2) is:
7. If cos⁻¹(x) = 2sin⁻¹(x), then x =
8. Prove that tan⁻¹(1/2) + tan⁻¹(1/3) = π/4. This is because:
9. If sin⁻¹(a) + sin⁻¹(b) = π/2, then a² + b² =
10. The number of solutions to sin⁻¹(x) = x is:
11. If y = sin⁻¹(2x√(1-x²)), then the domain is:
12. Find tan(sin⁻¹(3/5)) =
13. The value of cot⁻¹(tan(π/3)) is:
14. Solve: 3sin⁻¹(x) = π
15. If sec⁻¹(x) = cos⁻¹(1/x), then which is NOT true?
16. Find cos(sin⁻¹(3/5) - cos⁻¹(5/13)) =
17. The solution of tan⁻¹(x) + tan⁻¹(1-x) = π/4 is:
18. If y = sin⁻¹(sin(x)) on [0, 2π], then at x = 3π/4, y =
19. The derivative of sec⁻¹(x) is:
20. Solve: sin⁻¹(x) + cos⁻¹(2x) = π/6
21. If tan⁻¹(a) + tan⁻¹(b) + tan⁻¹(c) = π, then a + b + c =
22. The value of tan(2tan⁻¹(1/3)) is:
23. If sin⁻¹(2x/(1+x²)) = 2sin⁻¹(x), then x ∈
24. Principal value of cos⁻¹(-1/2):
25. tan⁻¹(1) + tan⁻¹(2) + tan⁻¹(3) equals: