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Prove that: sin6^(@)sin42^(@)sin66^(@)...

Prove that:
`sin6^(@)sin42^(@)sin66^(@)sin78^(@)=1/16`

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To prove that \( \sin 6^\circ \sin 42^\circ \sin 66^\circ \sin 78^\circ = \frac{1}{16} \), we can use trigonometric identities. Let's break it down step by step. ### Step 1: Group the Sine Functions We can group the sine functions in pairs: \[ \sin 6^\circ \sin 66^\circ \quad \text{and} \quad \sin 42^\circ \sin 78^\circ \] ...
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