To find the approximate value of [tex]\(\tan \left(\frac{6 \pi}{5}\right)\)[/tex], we proceed as follows:
1. Identify the angle in radians: [tex]\(\frac{6\pi}{5}\)[/tex].
2. Calculate the tangent of this angle using the known trigonometric function [tex]\(\tan\)[/tex].
3. The approximate value of [tex]\(\tan \left(\frac{6 \pi}{5}\right)\)[/tex] is found to be about 0.727.
Considering the given multiple-choice options:
- 0.066
- 0.727
- 1.312
- [tex]\(-0.969\)[/tex]
The value closest to our calculated result is 0.727.
Thus, the correct answer is:
0.727.
