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What will be the sign of sin1.sin2.sin3 ? (positive or negative). Please explain.

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What will be the sign of sin1.sin2.sin3 ? (positive or negative). Please explain.
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Apply Trigonometric Identity rule below and you will get zero as answer.

sin(mx)sin(nx) = (1/2)[ x cos(m-n) - x cos(m+n) ] 

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