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Prove that; (2sin(5pi))/(12)sinpi/(12)=1...

Prove that; `(2sin(5pi))/(12)sinpi/(12)=1/2`

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To prove that \(\frac{2 \sin\left(\frac{5\pi}{12}\right) \sin\left(\frac{\pi}{12}\right)}{12} = \frac{1}{2}\), we will start with the left-hand side (LHS) and simplify it step by step. ### Step 1: Write down the LHS \[ LHS = \frac{2 \sin\left(\frac{5\pi}{12}\right) \sin\left(\frac{\pi}{12}\right)}{12} \] ### Step 2: Use the product-to-sum formula ...
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