Find the Maclaurin series for $\tan x$, up to and including the term in $x^3$. Hence, find

Question

Find the Maclaurin series for $\tan x$, up to and including the term in $x^3$. Hence, find the approximate value of $\tan 0.2$.

Accepted Answer

$\tan x \approx x + \frac{1}{3}x^3 + \dots , \quad 0.203$

Maclaurin Series and Power Series - Approximations Using The Power Series