Which of the following is negative

Maths Inverse Trigonometric Functions Mix Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

cos (tan –1 (tan 4))

sin (cot –1 (cot 4))

tan (cos –1 (cos 5))

cot (sin –1 (sin 4))

Text Solution

Verified by Experts

The correct answer is:

cos (tan –1 (tan4)) = cos (tan –1 tan (4 – π ))

= cos (4 – π ) = – cos 4 > 0

sin (cot –1 (cot 4)) = sin (cot –1 (cot 4 – π ))

sin (4 – π ) = – sin 4 > 0

tan (cos –1 (cos 5)) = tan (cos –1 cos(2 π – 5)

= tan (2 π – 5) = – tan 5 > 0

cot (sin –1 (sin 4)) = cot (sin sin –1 ( π – 4))

= cot ( π – 4) = – cot 4 < 0

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