If (tan –1 x) 2 + (cot –1 x) 2 = , then x equals-

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

Published by: CGP EDU Academic Team

Published on: August 12, 2026

– 1

None of these

Text Solution

Verified by Experts

The correct answer is:

( tan –1 x + cot –1 x) – 2tan –1 x =

= – 2 tan –1 x + 2(tan –1 x) 2 =

2(tan –1 x) 2 – π (tan –1 x) – = 0

tan –1 x = – , ⇒ tan –1 x = – ⇒  x = – 1

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