Maclaurin Series Standard Series Q5

Maclaurin Series Standard Series Q5

Using standard series from the List of Formulae (MF 27), expand \({\sin\left(2x - \frac{\pi}{4}\right)}\) up to and including the term in \({x^{3}}\).

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Answer:\({\frac{1}{\sqrt{2}}\left[-1 + 2x + 2x^{2} - \frac{4}{3}x^{3} + \ldots\right]}\)

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