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The expression ( \sin A \cos A ) represents the product of the sine and cosine of an angle ( A ). It can be simplified using the double angle identity: ( \sin A \cos A = \frac{1}{2} \sin(2A) ). This identity highlights the relationship between the product of sine and cosine and the sine of double the angle. Thus, ( \sin A \cos A ) can be interpreted as half the sine of double the angle ( A ).
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