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

tan^(-1)(cot4x)

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

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

tan ^(-1) (cot x) + cot ^(-1) (tan x) =(pi)/(4)

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

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

Evaluate cot (tan^(-1) (2x) + cot^(-1) (2x))

int\ (tan^(-1)x - cot^(-1)x)/(tan^(-1)x + cot^(-1)x) \ dx equals

2tan(tan^(-1)(x)+tan^(-1)(x^(3))), where x in R-{-1,1} is equal to (2x)/(1-x^(2))t(2tan^(-1)x)tan(cot^(-1)(-x)-cot^(-1)(x))tan(2cot^(-1)x)