Consider the function f (x) = cos -1 ([2 X ]) + sin -1 ([2 …

Maths Inverse Trigonometric Functions NTA Abhiyas Question Single Correct MCQ

Published on: August 13, 2026

Consider the function f (x) = cos -1 ([2 X ]) + sin -1 ([2 X ] - 1), then (where [.] represents the greatest integer part function)

Domain of f (x) is x

(

, 0]

Range of f (x) is singleton

f (x) is an even function

f(x) is an odd function

Text Solution

Verified by Experts

The correct answer is:

Range of f (x) is singleton

For f(x) to be defined [2 X ] = 0,1

Range {cos -1 (0) + sin' 1 (-1), cos -1 (1) + sin -1 (0)} = {0}

f(x) = 0 x (- ,l)

So, Domain is not symmetric about the origin

f(x) is neither even nor odd

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.