Prove that: `(sin x - sin 3x)/(sin^(2)x-cos^(2)x)=2sinx`

int(sin2x)/(sin^(2)x+2cos^(2)x)dx=

Prove that =(sin 5x-2sin3x+sinx)/(cos5x-cosx)=tanx

Prove that =(sin 5x-2sin3x+sinx)/(cos5x-cosx)=tanx

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

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

Prove that : sin3x=3sinx-4sin^(3)x

Prove that (sin 5x - 2 sin 3x + sin x)/(cos 5 x - cos x)= tan x

int (sin^(8)x-cos^(8)x)/(1-2sin^(2)x cos^(2)x)dx =

int (sinx . cosx)/(a^(2)cos^(2)x+b^(2)sin^(2)x) dx

Find the number of solution of the equations sin^3 x cos x + sin^(2) x* cos^(2) x+sinx * cos^(3) x=1 , when x in[0,2pi]