Question

Assertion (A): Maximum value of (cos^–1 x)² is π².

Reason (R): Range of the principal value branch of cos^–1 x is `[(-π)/2, π/2]`.

Options

• Both (A) and (R) are true and (R) is the correct explanation of (A).

• Both (A) and (R) are true, but (R) is not the correct explanation of (A).

• (A) is true, but (R) is false.

• (A) is false, but (R) is true.

Answer 1

(A) is true, but (R) is false.

Explanation:

The maximum value of cos^–1 x is π at 1.

∴ Maximum value of (cos^–1 x)² is π².

Range of principal value branch of cos^–1 x is [0, π].