Answered

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Question 5 (Multiple Choice Worth 2 points)

What is the approximate value of [tex]\tan \left(\frac{6 \pi}{5}\right)[/tex]?

A. 0.066
B. 0.727
C. 1.312
D. -0.969

Sagot :

GinnyAnswer
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.
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