Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Our platform provides a seamless experience for finding reliable answers from a knowledgeable network of professionals. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

I need help with this practice I am having trouble with it The subject is trig

I Need Help With This Practice I Am Having Trouble With It The Subject Is Trig class=

Sagot :

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given range

[tex](-\infty,-9\rbrack\cup\lbrack5,\infty)[/tex]

STEP 2: Find the cosecant function

[tex]\begin{gathered} \text{The range of a cosecant function normally excludes the interval }(-1,1)\text{.} \\ The\text{ range in the question excludes the interval }(-9,5)\text{, which has a width 7 times as great.} \\ \text{Thus, we know the vertical factor is 7.} \\ \\ T\text{he midpoint of the excluded interval of the given function is }\frac{(-9+5)}{2}=-\frac{4}{2}=-2 \\ so\text{ that is the vertical translation.} \\ \text{The cosecant function normally has vertical asymptotes at }x=0\text{ and }x=\pi\text{ so the function is } \\ \text{expanded horizontally by a factor of }2. \end{gathered}[/tex]

Hence, the cosecant function is

[tex]undefined[/tex]