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Problems for
Intermediate Methods in Theoretical Physics
Edward F. Redish |
Power series for trig functions
Calculate the coefficients of the Taylor series for the functions sin(θ) and tan(θ) through the order θ4. Sketch graphs of each of the functions together with the approximations provided by the truncation of the power series you have obtained.
For what values of θ is an approximation of O(θ) good for these functions? an approximation of O(θ3)?
RETURNS
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This page prepared by
Edward F. Redish
Department of Physics
University of Maryland
College Park, MD 20742
Phone: (301) 405-6120
Email: redish@umd.edu
Last revision 6. September, 2004.