Discussion
What is the value of \(2\cos 75° \cos 15°\)?
Answer: A
We use the product-to-sum formula \(2\cos A \cos B = \cos(A+B) + \cos(A-B)\).
Here, A = 75° and B = 15°.
The expression equals \(\cos(75°+15°) + \cos(75°-15°) = \cos 90° + \cos 60°\).
Substituting values: 0 + 1/2 = 1/2.
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