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

Prove that : cos^(-1) x = 2 cos^(-1) sqrt((1+x)/(2)) (ii) Prove that : tan^(-1)((cosx + sin x)/(cosx - sin x)) = (pi)/(4)+ x

(sin x)/(1+cos x)

sin x sin (cos x)

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

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

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

Let (b cos x)/(2 cos 2x-1)=(b + sin x)/((cos^(2) x-3 sin^(2) x) tan x), b in R . Equation has solutions if

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

Show that '(1-cos 2x + sin x)/(sin 2x + cos x) = tan x'

Prove that : (sin x + sin 3x)/(cos x + cos 3x) = tan 2x