If f(x) = tan^(-1) cot x, then...

If f(x) = `tan^(-1) cot x`, then

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f(x)=max{tan x,cot x)

tan^(-1) (cot x) +cot^(-1)(tan x) =

cot(tan^(-1)x+cot^(-1)x)

Let f(x)=sin^(-1)(tan x)+cos^(-1)(cot x) then

tan^(-1)(cot x)+cot^(-1)(tan x)

What is ( tan x + tan y ) ( 1 - cot x cot y ) + ( cot x + cot y ) ( 1- tan x tan y ) equal to ?

tan^(-1) (cot x) +cot^(-1)(tan x) =pi -2x

If f(x) =tan ^(-1)x,then derivative of f(tan x) w.r.t. f(cot x) is

tan^(-1)(cot x)-tan^(-1)(cot2x)=

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