*The following power-reducing formulas can be derived from the double-angle formulas.
Half-Angle Formulas
*You can derive the half-angle formulas from the power-reducing formulas by replacing x with x/2.
Product-to-Sum Formulas
*each of the following product-to-sum formulas can be verified using the sum and difference formulas.
Sum-to-Product Formulas
*Sometimes it is useful to reverse the procedure and write a sum of trigonometric functions as a product. This can be done with the following sum-to-product formulas.
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