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Maths Inverse Trigonometric Functions Inverse Trigonometric Functions, Inverse Trigo Identities Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

If α ∈ , then the value of

tan –1 (cot α ) – cot –1 (tan α ) + sin –1 (sin α ) + cos –1 (cos α ) is equal to-

2 π + α

π + α

π – α

Text Solution

Verified by Experts

The correct answer is:

For α ∈ , tan α < 0

⇒ tan –1 (cot α ) – cot –1 (tan α ) = – π

Also for points in 2 nd quadrant

sin –1 (sin α ) + cos –1 (cos α ) = π .

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