Chapter 6, Problem 16CT

To determine

The value of the expression, $\cot \frac{28\pi }{9}$ rounded to three decimal places using a calculator.

Answer to Problem 16CT

Solution:

The value of the expression $\cot \frac{28\pi }{9}$ is approximately $2.747$.

Explanation of Solution

Given information:

The expression, $\cot \frac{28\pi }{9}$.

Explanation:

Let, the expression be $\cot \frac{28\pi }{9}$.

To find the value of the expression using calculator first set the mode of calculator to radians.

By using $\cot \left(x\right)=\frac{1}{\tan \left(x\right)}$

$\Rightarrow \cot \left(\frac{28\pi }{9}\right)=\frac{1}{\tan \left(\frac{28\pi }{9}\right)}=2.747477419$

Rounding to three decimal places gives, $\cot \left(\frac{28\pi }{9}\right)\approx 2.747$.

Hence, the value of the expression $\cot \frac{28\pi }{9}$ is approximately $2.747$.