Range of f(x) = cos − − 1

Maths Functions, Limits, Continuity and Differentiability General Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

(0, π π /2)

(0, π π /4)

(0, π π /2]

[0, π π /4)

Text Solution

Verified by Experts

The correct answer is:

For x = 0, = 0

For x ≠ ≠ 0,

Since for x ≠ ≠ 0 ⇒ ⇒ 0 < x 2 < ∞ ∞

⇒ ⇒ ∞ ∞ > > 0

⇒ ⇒

⇒ ⇒ 0 ≤ < 1 ∀ ∀ x ∈ ∈ R

Thus range is

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