How do you prove the sum-to-product identities for sine and cosine functions?
Answer 1
Brandon Martinez
To prove the sum-to-product identities for sine and cosine functions, we use the angle addition formulas. For sine, sin(a) + sin(b) = 2sin((a+b)/2)cos((a-b)/2). For cosine, cos(a) + cos(b) = 2cos((a+b)/2)cos((a-b)/2). These identities are derived using trigonometric addition and subtraction formulas.
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