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

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

Old Node ID: 
1954
Author(s): 
A. P. Stone (University of New Mexico)
Publication Date: 
Friday, June 13, 2008
Original Publication Source: 
Mathematics Magazine
Original Publication Date: 
October, 1991
Subject(s): 
Calculus
Single Variable Calculus
Series
Differential & Difference Equations
Ordinary Differential Equations
Power Series Methods
Topic(s): 
Analytic Methods
Series
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Publish Page: 
Furnished by JSTOR: 
File Content: 
Rating Count: 
15.00
Rating Sum: 
42.00
Rating Average: 
2.80
Author (old format): 
A. P. Stone
Applicable Course(s): 
3.2 Mainstream Calculus II
3.6 Differential Equations
Modify Date: 
Monday, August 20, 2012
Average: 2.8 (15 votes)

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