Products of Powers of Sines and Cosines

sinm x cosn xdx where m and n are nonnegative integers. Recall the double angle formulas for the sine and cosine functions. 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) ................
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