Sum-to-Product Formulas Use the product-to-sum formulas in Exercise 74 to prove the
Chapter 5, Problem 464(choose chapter or problem)
Prove the following identities, which are called the product-to-sum formulas.
(a) \(\sin u \sin v=\frac{1}{2}(\cos (u-v)-\cos (u+v))\)
(b) \(\cos u \cos v=\frac{1}{2}(\cos (u-v)+\cos (u+v))\)
(c) \(\sin u \sin v=\frac{1}{2}(\sin (u+v)+\sin (u-v))\)
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