Inverse Trigonometric Functions - Properties & Graphs

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

1. The domain of sin⁻¹(x) is:
2. The range of sin⁻¹(x) is:
3. The range of cos⁻¹(x) is:
4. The range of tan⁻¹(x) is:
5. sin⁻¹(sin(π/3)) =
6. cos⁻¹(cos(2π/3)) =
7. Using the standard identity, the value of tan⁻¹(1) is:
8. The value of sin⁻¹(-1/2) is:
9. Using the standard identity, the value of cos⁻¹(√3/2) is:
10. sin(sin⁻¹(3/5)) =
11. tan⁻¹(tan(7π/6)) is NOT equal to 7π/6 because:
12. sin⁻¹(x) + cos⁻¹(x) =
13. The derivative of sin⁻¹(x) with respect to x is:
14. The derivative of tan⁻¹(x) is:
15. tan⁻¹(x) + tan⁻¹(y) = tan⁻¹((x+y)/(1-xy)) is valid when:
16. sin⁻¹(3/5) + sin⁻¹(4/5) =
17. The function y = sin⁻¹(x) is:
18. The function y = cos⁻¹(x) is:
19. cot⁻¹(x) = tan⁻¹(1/x) is valid for:
20. If y = sin⁻¹(2x/(1+x²)), then dy/dx =
21. The value of 2tan⁻¹(1/2) - tan⁻¹(1/7) equals:
22. sin⁻¹(sin(4π/3)) =
23. The graph of y = sin⁻¹(x) is increasing and:
24. For the equation sin⁻¹(x) = cos⁻¹(x), the solution is:
25. Principal value of sin⁻¹(1/2):