Question

use a calculator to find the approximate value of the expression. round the answer to two decimal places.

\\( \tan \frac { \pi } { 5 } \\)

\\( \tan \frac { \pi } { 5 } = \square \\) (round to two decimal places as needed.)

Explanation:

Step1: Convert angle from radians to degrees

We know that \(\frac{\pi}{5}\) radians. Since \(\pi\) radians \( = 180^{\circ}\), then \(\frac{\pi}{5}=\frac{180^{\circ}}{5} = 36^{\circ}\)

Step2: Use calculator to find tangent value

Using a calculator, \(\tan(36^{\circ})\approx0.73\)

Answer:

\(0.73\)