Inverse Trigonometric Functions · Review Exercise 103

Find the exact value without the aid of a calculator.

Graph the function $f\left(x\right)=\frac{x}{1}-\frac{x^3}{3!}+\frac{x^5}{5!}-\frac{x^7}{7!}$ on the interval $\left[-1,1\right]$ and compare the graph to the graph of $f\left(x\right)=sinx$ on the same interval. Describe any observations.

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Algebra and Trigonometry 2e · §8.3 Inverse Trigonometric Functions · Review Exercise 103