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Maths Inverse Trigonometric Functions Mix Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

The inequality log 2 (x) < sin –1 (sin(5)) holds if x ∈

(0, 2 5–2 π )

(2 5–2 π , ∞ )

(2 2 π –5 , ∞ )

(0, 2 2 π –5 )

Text Solution

Verified by Experts

The correct answer is:

Graph of sin –1 sin(x) = f(x)

f(x) = sin –1 (sinx) = x – 2 π 3 π /2 ≤ x ≤ 5 π /2

f(5) = sin –1 (sin 5) = 5 – 2 π

log 2 (x) < 5 – 2 π

x > 0

x < 2 5–2 π

So, (0, 2 5–2 π )

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