Products of Powers of Sines and Cosines
4 1−2cos2x+ 1 2 (1+cos4x) = 1 8 (3−4cos2x+cos4x) 7.2 3 ... Example 2. Even Products Evaluate ˆ sin4x cos6xdx This is not too difficult since sin4x cos6x = sin2x 2 cos6x = 1−cos2x 2 cos6x = 1−2cos2x+cos4x cos6x =cos6x−2cos8x+cos10x Thus ................
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