Question

In problems 11-26,use the fact that the trigonometric function are periodic to find the exact value of each expression. Do not use a calculator.

$\cot \left(\frac{17\pi }{4}\right)$

Short answer

The exact value is$1.$

Step-by-step solution

Step 1. Given information.

We have:

$\cot \left(\frac{17\pi }{4}\right)$

Step 2. Find the exact value of trigonometric function.   

The function is $\cot \left(\frac{17\pi }{4}\right)$.

Formula used:

$cot\left(\theta +\pi \right)=cot\pi$

$$\begin{gathered} =\cot \left(\frac{\pi }{4}\right) \\ =1 \end{gathered}$$