Quiz for Inverse Trigonometric Functions

Q1: What is the principal value of sin⁻¹(√3/2)?

A. π/3 B. 2π/3 C. π/6 D. 5π/6

Q2: What is the value of tan⁻¹(1)?

A. 0 B. π/4 C. π/2 D. 1

Q3: cos⁻¹(–1) equals:

A. π B. 0 C. –π/2 D. π/2

Q4: The value of sin⁻¹(–1/2) is:

A. –π/6 B. π/6 C. –π/2 D. π/2

Q5: If sin⁻¹x + cos⁻¹x = ?

A. 0 B. π C. π/2 D. 2π

Q6: The domain of sin⁻¹(x) is:

A. [–1,1] B. [0,π] C. All real numbers D. [–π/2, π/2]

Q7: What is the range of tan⁻¹(x)?

A. [–π/2, π/2] B. (–∞, ∞) C. [0,π] D. [–π, π]

Q8: If x = tan⁻¹(1/√3), what is x?

A. π/6 B. π/3 C. π/4 D. π/2

Q9: The value of cos⁻¹(1/2) is:

A. π/3 B. π/6 C. π/4 D. π/2

Q10: Which is true about sin⁻¹(x)?

A. It is defined for all real x B. It is increasing in its domain C. It is decreasing D. Its domain is (–∞, ∞)

Q11: Find sin⁻¹(sin(5π/6))

A. π/6 B. –π/6 C. 5π/6 D. π/2

Q12: sin⁻¹(0) is equal to:

A. 0 B. π C. π/2 D. Undefined

Q13: cos⁻¹(cos(4π/3)) equals:

A. 2π/3 B. 4π/3 C. π/3 D. –2π/3

Q14: tan⁻¹(0) = ?

A. π B. π/2 C. 0 D. 1

Q15: If y = sin⁻¹x, then dy/dx is:

A. 1 B. 1/√(1–x²) C. x D. x/√(1–x²)

Q16: The graph of y = tan⁻¹x is:

A. increasing curve B. decreasing curve C. parabola D. circle

Q17: sin⁻¹(1) equals:

A. π B. π/2 C. 0 D. 1

Q18: cos⁻¹(0) is:

A. π/2 B. 0 C. π D. Undefined

Q19: tan⁻¹(√3) = ?

A. π/6 B. π/4 C. π/3 D. π

Q20: If cos⁻¹x = y, then x equals:

A. cos y B. sin y C. tan y D. 1 – x²