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

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

Differentiate tan^(-1) frac((cos x-sin x))((cos x+ sin x))

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

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

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

2tan2x = (cos x + sin x) / (cos x-sin x) - (cos x-sin x) / (cos x + sin x)

Prove that (cos x + sin x)/(cos x - sin x) - (cos x - sin x)/(cos x + sin x) = 2 tan x

Prove that: (i) (1+"sin" 2theta-cos 2theta)/(1+"sin" 2theta+cos 2theta)="tan" theta . (ii) 2 tan 2x=(cos x+"sin" x)/(cos x-"sin" x)-(cos x-"sin" x)/(cos x+"sin" x) .

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

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