1.quad x sin 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

if y = sin x ^ (sin x ^ (sin x))

int(e^(x)sin x+cot x+x sin x)/(sin x)dx

The number of distinct real roots of the equation, |(cos x, sin x , sin x ),(sin x , cos x , sin x),(sinx , sin x , cos x )|=0 in the interval [-pi/4,pi/4] is :

if a=(1+sin x)/(1-cos x+sin x) then (1+cos x+sin x)/(2sin x) is

x sin x (dy)/(dx) + (x cos x + sin x) = sin x

(cos 2x sin x + cos 6x sin 3x)/(sin 2x sin x + sin 6x sin 3x) =cot 5x

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