The number of solutions of the equation , is

Maths Inverse Trigonometric Functions General Numeric Response

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Text Solution

Verified by Experts

The correct answer is:

(1)

Rearrange the equation:

Take the sine of both sides:

Using :

Simplify using trigonometric identities:

Multiply by 2:

Square both sides:

Check Validity:

Since the right side of the original equation is positive, and is an increasing function, must be positive.

Therefore, is rejected.

The only solution is .

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