Solve `sin 6 theta=sin 4 theta-sin 2 theta`.

Answer

`theta = (n pi)/4 or theta = m pi pm pi/6; m, n in Z`

Explanation

`sin 6 theta = sin 4 theta - sin 2 theta`
or `sin 6 theta + sin 2 theta = sin 4 theta`
or `2 sin 4 theta cos 2 theta = sin 4 theta`
or `sin 4 theta = 0 or cos 2 theta = 1//2`
`rArr 4 theta = n pi or 2 theta = 2m pi -+ pi//3, m, x in Z`
or `theta = n pi//4 or theta = m pi -+ pi//6, m, n in Z`