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Prove that: sinA.sin(60^(@)+A).sin(60^...

Prove that:
`sinA.sin(60^(@)+A).sin(60^(@)-A)=1/4sin3A`

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To prove that \( \sin A \cdot \sin(60^\circ + A) \cdot \sin(60^\circ - A) = \frac{1}{4} \sin 3A \), we will start with the left-hand side (LHS) and manipulate it step by step. ### Step 1: Write down the LHS \[ \text{LHS} = \sin A \cdot \sin(60^\circ + A) \cdot \sin(60^\circ - A) \] ### Step 2: Use the product-to-sum identities ...
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