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

("sin x - cos x")^(2) =1- sin 2x

Prove that (1 + sin x-cos x) / (1 + sin x + cos x) + (1 + sin x + cos x) / (1 + sin x-cos x) = 2cos ecx

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

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

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

int_(0)^(pi//2) (sin x cos x) / ((1 + 2 sin x ) ( 1+ sin x))dx =

int (sin x * e ^ (cos x) - (sin x + cos x) e ^ (sin x + cos x)) / (e ^ (2sin x) -2e ^ (sin x) +1) dx

Ltquad x rarr0 (1-cos ^ (2) (sin x) -cos (sin ^ (2) x) + cos ^ (2) (sin x) cos (sin ^ (2) x)) / (x ^ ( 6)) =

If (sin x + cos x)/(sin x - cos x) = (6)/(5) , then the value of (tan^(2) x + 1)/(tan^(2) x-1) is :

The minimum value of sin x((1-cos x)/(sin x)+(sin x)/(1-cos x)) is