Inverse Trigonometric Functions

Q. Find the value of sin^(-1)(-1).

Solution

sin(-π/2) = -1, therefore sin^(-1)(-1) = -π/2.

Correct Answer: A — -π/2

Q. Find the value of sin^(-1)(√3/2).

Solution

sin(π/3) = √3/2, therefore sin^(-1)(√3/2) = π/3.

Correct Answer: C — π/3

Q. If cos^(-1)(-1) = x, what is the value of x?

Solution

cos(π) = -1, hence cos^(-1)(-1) = π.

Correct Answer: C — π

Q. If sin^(-1)(x) = π/3, what is the value of x?

Solution

sin(π/3) = √3/2, hence x = √3/2.

Correct Answer: B — √3/2

Q. If tan^(-1)(x) = π/4, what is the value of x?

Solution

tan(π/4) = 1, hence x = 1.

Correct Answer: B — 1

Q. What is the value of cos^(-1)(0)?

Solution

cos(π/2) = 0, thus cos^(-1)(0) = π/2.

Correct Answer: B — π/2

Q. What is the value of cos^(-1)(1/2)?

Solution

cos(π/3) = 1/2, thus cos^(-1)(1/2) = π/3.

Correct Answer: C — π/3

Q. What is the value of sin^(-1)(1/2)?

Solution

sin(π/6) = 1/2, therefore sin^(-1)(1/2) = π/6.

Correct Answer: A — π/6

Q. What is the value of tan^(-1)(0)?

Solution

tan(0) = 0, thus tan^(-1)(0) = 0.

Correct Answer: A — 0

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