
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 cos(θ) and tan(θ) through
the order θ^{4}. Be sure to show your work. Don't just give an answer!
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(θ^{3})?
This page prepared by
Edward F. Redish
Department of Physics
University of Maryland
College Park, MD 20742
Phone: (301) 4056120
Email: redish@umd.edu
Last revision 7. September, 2005.