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Using the fact that sin (A + B) = sin A ...

Using the fact that `sin (A + B) = sin A cos B + cos A sin B` and the differentiation, obtain the sum formula for cosines.

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To derive the sum formula for cosines using the differentiation of the sine addition formula, we can follow these steps: ### Step-by-Step Solution: 1. **Start with the sine addition formula:** \[ \sin(A + B) = \sin A \cos B + \cos A \sin B \] ...
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