Trigonometry! #72

Geometry Level 4

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

Options:

  1. (π,4π5)(π5,π10)(9π10,π)\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. (9π10,π10)(3π10,7π10)\left(-\frac {9\pi}{10}, -\frac {\pi}{10}\right) \cup \left(\frac {3\pi}{10} , \frac {7\pi}{10} \right)

  3. (π,9π10)(π10,3π10)(7π10,π)\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. (7π10,9π10)\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.

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