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Question

Sin2(6x)Sin2(4x)=Sin2x.Sin10x

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Solution

sin26xsin2 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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