Prove that the equations `sin x*sin 2x*sin 3x = 1` have no solution.

Prove that the equation 2 sin x=|x|+a has no solution for a in ((3sqrt(3)-pi)/3, oo) .

If [x] dnote the greatest integer less than or equal to x then the equation sin x=[1+sin x ]+[1-cos x ][ has no solution in

sin x + sin 3x + sin 5x =0

For x in (0,pi) the equation sinx+2sin2x-sin3x=3 has

The solution of the equation sin 2x + sin 4x = 2 sin 3x is

Find the value of 'a' which the system of equation sin x * cos y=a^(2) and sin y* cos x =a have a solution

Prove that sin^(2)6x-sin^(2)4x=sin2xsin10x

Find the integrals of the functions sin x sin 2x sin 3x

Find all the number 'a' for which any root of the equation sin 3x =a sin x +(4-2|a|)sin^(2) x is a root of the equation sin 3x + cos 2 x =1+2 sinx cos 2x and any root of the latter equation is a root of the former .

Prove that cot4x(sin5x+sin3x)=cotx(sin5x-sin3x)