`(cos2x)/(cos x-sin x)=cos x+sin x`

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

int cos2x*log((cos x+sin x)/(cos x-sin x))backslash dx

int cos2x*log((cos x+sin x)/(cos x-sin x))dx

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) .

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

The value of (2(sin2x+2cos^(2)x-1))/(cos x sin x cos3x+sin3x) is

(1 + sin 2x + cos 2x )/( cos x + sin x ) = 2 cos x

Show that (sin 8x cos x - sin 6x cos 3x)/(cos 2x cos x - sin 3x sin 4x) = tan 2x