Example: sin cos xdx
sin2 x cos 2 x = (sin x cos x)2 1 2 = 2 sin(2x) = 1 4 sin2(2x) = 1 1 − cos(4x) 4 2 sin2 x cos 2 x = 1 8 − cos(4x) 8 Using the double angle formula for the sine function reduces the number of factors of sin x and cos x, but not quite far enough; it leaves us with a factor of sin2(2x). Next, the half angle formula for the sine function allows ... ................
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