Question: Use the identity sin 2 x = (1 - cos 2x)/2 to obtain the Maclaurin series for sin 2 x. Then differentiate this series to

Use the identity sin2 x = (1 - cos 2x)/2 to obtain the Maclaurin series for sin2 x. Then differentiate this series to obtain the Maclaurin series for 2 sin x cos x. Check that this is the series for sin 2x.

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