(cos x)/(sin^(2)x)

Evaluate int (cos x)/(sin^2x+sin x)dx

(cos2x)/(sin ^(2) x cos^(2) x)

The function f(x)=cos^(-1)((2[sin x|+|cos x|])/(sin^(2)x+2sin x+(11)/(4))) is defined if x belongs to (where [.] represents the greatest integer function)

Evaluate int (sin x cos x)/(sin^2x- 2sin x+3) dx

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

int ((sin x + cos x)(2-sin 2x))/(sin^(2)2x)dx= a) (sin x+cos x)/(sin 2x) +C b) (sin x- cos x)/(sin 2x)+C c) (sin x)/(sin x+cos x)+C d) (sin x)/(sin x-cos x)+C

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

int (sin^2 x - cos^2 x)/(sin^2 x cos^2 x) dx is equal to :

Simplify [{:(cos^(2)x,sin^(2)x),(sin^(2)x,cos^(2)x):}]+[{:(sin^(2)x,cos^(2)x),(cos^(2)x,sin^(2)x):}]