For the function f (x) = sin ( [x]) x cos -1 ([x]), choose…

Maths Functions, Limits, Continuity and Differentiability NTA Abhiyas Question - Function Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

For the function f (x) = sin ( [x]) x cos -1 ([x]), choose the correct option.

(where [.] represents the greatest integer function)

Domain of f(x)

[-1,1]

Range of f (x) contains exactly two elements

f (x) is an identity function

f (x) is a constant function

Text Solution

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The correct answer is:

f (x) is a constant function

For any x R, we know,

sin [x] =0

{ for cos -1 [x] to be defined}

Domain

Range = {0}

is a constant function

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