Trigonometry! #72

The solution set of \[|4\sin (x) - 1| < \sqrt {5}\] for \(|x|<\pi\) is

Options:

1. \(\left(-\pi,-\frac {4\pi}{5} \right)\cup\left(-\frac {\pi}{5} , \frac {\pi}{10} \right) \cup \left( \frac {9\pi}{10} , \pi\right)\)

2. \(\left(-\frac {9\pi}{10}, -\frac {\pi}{10}\right) \cup \left(\frac {3\pi}{10} , \frac {7\pi}{10} \right)\)

3. \(\left(-\pi,-\frac {9\pi}{10}\right)\cup\left(-\frac {\pi}{10},\frac{3\pi}{10}\right)\cup\left(\frac{7\pi}{10},\pi\right)\)

4. \(\left(-\frac {7\pi}{10} , \frac {9\pi}{10}\right)\)

Note: Enter the serial number of the correct option.

This problem is part of the set Trigonometry.