Find the Values of X for Which the Geometric Series $\sum_{n=0}^{\infty}|\sin 5 x|^{n}$

Multiple Choice

Find the values of x for which the geometric series converges.
- $\sum_{n=0}^{\infty}|\sin 5 x|^{n}$

A) $\{ x \mid x$ is not a multiple of $2 \pi \rangle$
B) diverges for all x
C) $\{ x \mid x$ is not a multiple of $\frac{\pi}{10} \rangle$
D) - $\infty$ < x < $\infty$