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Answer:


\sin(30\textdegree)


(1)/(2)

Explanation:

Use the sine double angle formula in reverse.


2\sin(\theta)\cos(\theta) = \sin(2\theta)

Plug in the given expression to get a simplified result.


2\sin(15\textdegree)\cos(15\textdegree) = \sin(2 \cdot 15\textdegree)


= \sin(30\textdegree)


= (1)/(2)

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