Using calculus, it can be shown that the tangent function can be approximated by the

Chapter 5, Problem 77

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Exploration Using calculus, it can be shown that the tangent function can be approximated by the polynomial

\(\tan x \approx x + \frac{2x^3}{3!}+\frac{16x}{5!}\)

where x is in radians. Use a graphing utility to graph the tangent function and its polynomial approximation in the same viewing window. How do the graphs compare?

Text Transcription:

tan x approx x + frac{2x^3}{3!}+frac{16x}{5!}