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

InterviewSolution

1.	Solve `sin 6 theta=sin 4 theta-sin 2 theta`.
Answer» Correct Answer - `theta = (n pi)/4 or theta = m pi pm pi/6; m, n in Z` `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`

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