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Power Series Expansions for Trigonometric Functions via Solutions to Initial Value Problems

by A. P. Stone (University of New Mexico)

This article originally appeared in:
Mathematics Magazine
October, 1991

Subject classification(s): Calculus | Single Variable Calculus | Series | Differential & Difference Equations | Ordinary Differential Equations | Power Series Methods
Applicable Course(s): 3.2 Mainstream Calculus II | 3.6 Differential Equations

Using initial value problem with repeated differentiations, the author obtains the complicated coefficients of the power series for powers of the secant function.

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Capsule Course Topic(s):
Ordinary Differential Equations | Analytic Methods
Ordinary Differential Equations | Series
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