`sin3x + sinx =sin2x`

Prove that sinx +sin2x +sin3x =sin2x (1+2cosx) .

The general solution of sinx + sin 2x + sin3x = 0 is

The general solution of sinx - 3 sin 2x + sin3x = cos x - 3 cos 2x + cos 3x is.

Prove that sin7x + sin5x + sin3x + sinx = 4cosx cos2x sin4x

The value of the limit lim_(x to pi/2) (4sqrt2)(sin3x +sinx)/((2 sin 2x sin. (3x)/2 +cos. (5x)/2)-(sqrt(2)+sqrt(2)cos 2x +cos. (3x)/2)) is _______

If f(x)=|(sin x+sin x 2x+sin3x,sin2x,sin3x),(3+4sinx,3,4sinx),(1+sinx,sinx,1)|, then the value of int_0^(pi/2) f(x) dx is

Find the integrals of the functions: sinx sin2x sin3x

Integrate the following functions: sinx sin2x sin3x

int_(0)^(pi//2)sinx sin2x sin3x sin 4x dx=