Published by:
CGP EDU Academic Team
Published on: August 11, 2026
If (tan -1 x) 2 +(cot -1 x) 2 = 
, then x equals
Text Solution
Verified by ExpertsThe correct answer is:
A
We have (tan -1 x) 2 +(cot -1 x) 2 = 
⇒ ⇒ (tan –1 x+cot –1 x) 2 – 2 tan -1 x ( π π /2 – tan –1 x) = 
⇒ ⇒ 
= 
⇒ ⇒ 2(tan –1 x) 2 – π π tan -1 x – 
= 0
⇒ ⇒ tan –1 x = – π π /4, 3 π π /4
⇒ ⇒ tan –1 x = – π π /4 ⇒ ⇒ x = –1
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