Let . If domain and range of are the same set, then is e…

Maths Inverse Trigonometric Functions All Topic Question for Revision Test Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Let . If domain and range of are the same set, then is equal to :

Text Solution

Verified by Experts

The correct answer is:

Domain: is defined for . Since domain range, Range .

Function Behavior: is strictly decreasing (since ).

Boundary Conditions:

Max value:

Min value:

for :

Calculate :

──────────────────────────────────────────────────────────────────────────────────────────

Previous Question Next Question

Get practice questions, solutions, and test series in one place.

Share your experience with this question and solution.

Send your comment, doubt, correction, or feedback to admin.

What students say about this solution

No reviews yet. Be the first to write a review.