## Trigonometry (11th Edition) Clone

Published by Pearson

# Chapter 4 - Review Exercises - Page 190: 29

#### Answer

Refer to the graph below. #### Work Step by Step

RECALL: The function $y=c+\cot{x}$ has: period = $\pi$ vertical shift= $|c|$, (upward when $c \gt0$, downward when $c\lt0$) consecutive vertical asymptotes: $x=0$ and $x=\pi$ The given function has $c=2$. Thus, it has: period = $\pi$ vertical shift = $|2|=2$ (which means that the values of the function vary from $-2$ to $2$ One period of this function is in the interval $[0, \pi]$. Divide this interval into four equal parts to obtain the key x-values $\frac{\pi}{4}, \frac{\pi}{2}, \frac{3\pi}{4}$. To graph the given function, perform the following steps: (1) Create a table of values using the key x-values listed above. (Refer to the table below.) (2) Plot the points from the table of values and connect them using a sinusoidal curve. (Refer to the graph in the answer part above.) After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.