Mathematics

Mathematics

Problem

Identify the correct simplified form of sin⁡(α+β)+sin⁡(α−β)\sin(\alpha+\beta)+\sin(\alpha-\beta) \,(for any real angles α\alpha and β\beta). a) 2cos⁡αsin⁡β2\cos\alpha\sin\beta b) sin⁡αcos⁡β\sin\alpha\cos\beta c) 2sin⁡αcos⁡β2\sin\alpha\cos\beta d) 2sin⁡αsin⁡β2\sin\alpha\sin\beta

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