Let f :R → R be given by f (x) = tan x. Then f –1 (1) is

Question

Philoid · Accepted Answer

Given that, f (x) = tan x

Let f(x) = y

⇒ y = tanx

⇒ x = tan^-1y

⇒ f^-1(y) = tan^-1y [∵ f(x) = y ⇒ x = f^-1(y) ]

⇒ f^-1(x) = tan^-1x

⇒ f^-1(1) = tan^-11

⇒