[(sin x)/(x)]*[(2sin2x)/(x)]dots[(100000)/(x)]

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

int_( equal to )^((x-sin x)^((3)/(2))){(6x^(2)sin^(2)((x)/(2)))/(x-sin x)+3x}dx is

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):}]

Show that (i) cos x+cos y=2 cos (x+y)/(2) cos (x-y)/(2) (ii) cos x-cos y=-2 sin (x+y)/(2) sin (x-y)/(2) (iii) sin x+sin y=2 sin (dot(x)+y)/(2) cos (x-y)/(2) (iv) sin x-sin y=2 cos (x+y)/(2) sin (x-y)/(2)

Prove that: ,,(sin x-sin3x)/(sin^(2)x-cos^(2)x)=2sin x

(sin x - sin 3x)/( sin ^(2) x - cos ^(2) x) = 2 sin x

(sin x - sin 3x)/( sin ^(2) x - cos ^(2) x) = 2 sin x