`tan^(-1)((a+b tan x)/(b-a tan x))`

tan^(-1)( (a+b tan c)/ (b-a tan x) )

int(1)/(1-sin^(4)x)dx=(1)/(a sqrt(b))+tan^(-1)(sqrt(a)tan x)+(1)/(b)tan x+C then (a)/(b) is equal to

int(dx)/(a+b tan x)dxa+b tan x

Simplify tan^(-1)[(a cos x-b sin x)/(b cos x+a sin x)], if (a)/(b)tan x>-1

" tan " ((pi)/(4) +x) =(1 + tan x)/(1-tan x)

tan(A+B)=(tan A+tan B)/(1-tan A tan B)

If A and B are acute angles such that tan A=(1)/(2),tan B=(1)/(3) and tan(A+B)=(tan A+tan B)/(1-tan A tan B), find A+B

Prove that tan(A-B)=(tan A-tan B)/(1+tan A*tan B) , if A=60° & B=45°.

prove that tan ((pi) / (4) + (1) / (2) cos ^ (- 1) ((a) / (b))) + tan ((pi) / (4) - (1) / (2) cos ^ (- 1) ((a) / (b))) = (b) / (a) cos ^ (- 1) ((cos x + cos y) / (1 + cos x cos y) ) = 2tan ^ (- 1) ((tan x) / (2) (tan y) / (2))