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}}{5!}

cistG

cistG

Answered question

2021-02-15

Using calculus, it can be shown that the tangent function can be approximated by the polynomial tan x  x + 2x33! + 16x55! 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.

Answer & Explanation

odgovoreh

odgovoreh

Skilled2021-02-16Added 107 answers

The red graph is tangent and the blue graph is approximation. The graphs aresimilar close to when x=0. image

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