# Using calculus, it can be shown that the secant function can be approximated by the polynomial sec xapprox 1 + frac{x^{2}}{2!}+frac{5x^{4}}{4!} where

Using calculus, it can be shown that the secant function can be approximated by the polynomial $\mathrm{sec}x\approx 1+\frac{{x}^{2}}{2!}+\frac{5{x}^{4}}{4!}$ where x is in radians. Use a graphing utility to graph the secant function and its polynomial approximation in the same viewing window. How do the graphs compare?
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