Question: Use the identity sine squared x equals StartFraction 1 minus cosine left parenthesis 2 x right parenthesis Over 2 EndFractionsin2x=1cos(2x)2to obtain the Maclaurin series for

Use the identity sine squared x equals StartFraction 1 minus cosine left parenthesis 2 x right parenthesis Over 2 EndFractionsin2x=1cos(2x)2to obtain the Maclaurin series for sine squared xsin2x.Then differentiate this series to obtain the Maclaurin series for 2 sine x cosine x2sinxcosx.Check that this is the series for sine left parenthesis 2 x right parenthesissin(2x).

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