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Prove that: |sintheta."sin"(60-theta).si...

Prove that: `|sintheta."sin"(60-theta).sin(60+theta)|lt=1/4` for all values of `theta` .

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To prove that \( |\sin \theta \cdot \sin(60^\circ - \theta) \cdot \sin(60^\circ + \theta)| \leq \frac{1}{4} \) for all values of \( \theta \), we can follow these steps: ### Step 1: Rewrite the expression We start with the expression: \[ |\sin \theta \cdot \sin(60^\circ - \theta) \cdot \sin(60^\circ + \theta)| \] ...
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