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Prove that sin10^(@) sin 30^(@) sin 50^...

Prove that `sin10^(@) sin 30^(@) sin 50^(@) sin 70^(@)=1/16`

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To prove that \( \sin 10^\circ \sin 30^\circ \sin 50^\circ \sin 70^\circ = \frac{1}{16} \), we will follow a systematic approach using trigonometric identities. ### Step-by-Step Solution: 1. **Write the Left-Hand Side (LHS)**: \[ LHS = \sin 10^\circ \sin 30^\circ \sin 50^\circ \sin 70^\circ \] ...
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