Problem

10. Simplify \( 6 \sin 4 \theta \cos 4 \theta \) as much as possible using a double angle formula.

Answer

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Answer

\( 3 \cdot \sin 8 \theta = 3\sin 8 \theta \)

Steps

Step 1 ：\( 6 \sin 4 \theta \cos 4 \theta = 3 \cdot 2 \sin 4 \theta \cos 4 \theta \)

Step 2 ：\( 3 \cdot 2 \sin 4 \theta \cos 4 \theta = 3 \cdot \sin 8 \theta \)

Step 3 ：\( 3 \cdot \sin 8 \theta = 3\sin 8 \theta \)

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