The value(s) of x satisfying the equation sin –1 |sin x| = …

Maths Inverse Trigonometric Functions Mix Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 14, 2026

The value(s) of x satisfying the equation sin –1 |sin x| =

is/ are given by (n is any integer)

n π

n π + 1

n π –1

2n π + 1

Text Solution

Verified by Experts

The correct answer is:

CHECK THE SOLUTION.

(a, b, c)

The solution of y = is y = 0 or y = 1

If sin –1 |sin x| = 1 ⇒ x = 1 or π – 1 (in the interval (0, π ))

But y = sin – 1 |sin x| is periodic with period π , so x = n π + 1 or

n π – 1

Again if sin –1 |sin x| = 0 ⇒ x = n π

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