Products of Powers of Sines and Cosines
sin2x =2sinx cosx cos2x =cos2x−sin2x =2cos2x−1 =1−2sin2x The cosine formulas can be used to to derive the very important “trig reduction” formulas. cos2x = 1 2 (1) (1+cos2x) sin2x = 1 2 (2) (1−cos2x) 7.2 2 Equations (1) and (2) are very useful when integrating even powers of sine and cosine. Example 1. Evaluate the following ... ................
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