Question

tan-1x +cot-1

x=_____​

Answer 1

Answer:

Let tan−1x=p so, tanp=x

tanp=cot(π2−p)

⇒x=cot(π2−p)⇒cot−1x=π2−p

So, tan−1x+cot−1x=p+π2−p

=π2,∀x∈R

Explanation:

hope this helps