Question: (a) Use (4.85) to derive the first few terms in the Taylor-series expansion about x = 0 for the function sin x and infer the

(a) Use (4.85) to derive the first few terms in the Taylor-series expansion about x = 0 for the function sin x and infer the general formula.
(b) Differentiate the Taylor series in (a) to obtain the Taylor series for cos x.

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