tan^(-1)((cos4-sin4)/(cos x+sin x))

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

Differentiate 'tan^(^^)(-1){(cos x+sin x)/(cos x-sin x)},|-pi/4

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

Differentiate the following w.r.t. x (i) cos ^(-1)(sin x) (if) tan ^(-1)(sin x/(1+cos x)) (iii) sin ^(-1)((2^(x+1))/(1+4^x))

Prove that : (cos 4x sin 3x - cos 2x sin x)/(sin 4x .sin x + cos 6x .cos x) = tan 2x

Write the simplest form of tan^(-1) [( 3 cos x - 4 sin x )/( 4 cos x + 3 sin x) ] , if (3)/(4) tan x gt -1