Solved Assume that sin(x) equals its Maclaurin series for

Solved Assume that sin(x) equals its Maclaurin series for

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The Maclaurin series is named after the Scottish mathematician Colin Maclaurin (1698-1746), who independently discovered this concept. Maclaurin explained how to use the series to approximate functions near 0 and solve problems in various fields.. This is the Maclaurin series for cos x. It is quite amazing that a power series can represent a trigonometry function in this way. The cos x series contains even powers and factorials, and the sin x series contains odd powers and factorials. Also, notice that each successive term alternates its sign.