$S i n^{2} (6 x) - S i n^{2} (4 x) = S i n 2 x . S i n 10 x$

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Solution

$s i n^{2} 6 x - s i n^{2}$ 4x =(sin 6x+sin 4x)(sin 6x-sin 4x)
=(2 sin 5x cos x)(2 sin x cos 5x)
=(2 sin 5x cos 5x)(2 sinx cos x)
=sin 10x sin 2x

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