3*tan^(-1)((cos x)/(1+sin x))+sin(log x)

tan^(-1)((1-cos x)/(sin x))

tan^(-1) ((1-cos x)/(sin x))

tan^(-1)((sin x)/(1+cos x))

tan^-1((1+cos x)/sin x)

tan^(-1)[(2cos x-3sin x)/(3cos x+2sin x)]

The derivative of tan^(-1)[(sin x)/(1+cos x)] w.r.t tan^(-1) [(cos x)/( 1+ sin x)] is

tan ^ (- 1) ((sin x) / (1 + cos x))

tan ^ (- 1) ((cos x-sin x) / (cos x + sin x)) = tan ^ (- 1) ((1-tan x) / (1 + tan x))

The value of the integral int(cos^(3)x+cos^(5)x)/(sin^(2)x+sin^(4)x)dx is (A) sin x-6tan^(-1)(sin x)+C(B)sin x-2(sin x)^(-1)+C(C)sin x-2(sin x)^(-1)+6tan^(-1)(sin x)+C(D)sin x-2(sin x)^(-1)+5tan^(-1)(sin x)+C