Products of Sines and Cosines (Product to Sum Formulas)

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Formulas for the products of sines and cosines are trigonometric identities known as product to sum formulas. They express the products of sines and cosines as sum (or difference) of sines and cosines. In this video we derive two of these formulas using the formulas for the cosine of the sum and the cosine of the difference of two angles. We then use one of these formulas to calculate the product of the sine of 75 degrees times the sine of 15 degrees.

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