Power Series Expansion for Real Arccosine Function

Theorem
The arccosine function has a Taylor Series expansion:

which converges for $-1 \le x \le 1$.

Proof
It follows from Power Series Expansion for Real Arcsine Function that the series is convergent for $-1 \le x \le 1$.

Also see

 * Power Series Expansion for Real Arcsine Function
 * Power Series Expansion for Real Arctangent Function
 * Power Series Expansion for Real Arccotangent Function
 * Power Series Expansion for Real Arcsecant Function
 * Power Series Expansion for Real Arccosecant Function