Answer:
![y=csc(\theta)](https://tex.z-dn.net/?f=y%3Dcsc%28%5Ctheta%29)
![y=cot(\theta)](https://tex.z-dn.net/?f=y%3Dcot%28%5Ctheta%29)
Step-by-step explanation:
I will just change
![x=\pm n\pi, n \in \mathbb{Z}_{\ge 0}](https://tex.z-dn.net/?f=x%3D%5Cpm%20n%5Cpi%2C%20n%20%5Cin%20%5Cmathbb%7BZ%7D_%7B%5Cge%200%7D)
For
![\theta = \pi n, n\in\mathbb{Z}](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%5Cpi%20n%2C%20n%5Cin%5Cmathbb%7BZ%7D)
Also, note that sine and cosine function don't have asymptotes.
The vertical asymptotes of cosecant occur every
It happens because the cosecant function is undefined for those values.
The cotangent function has asymptotes located at every integer multiple of
.
On the other hand, the vertical asymptotes of tangent function occur at:
![$\theta=\frac{\pi}{2} +n \pi, n \in \mathbb{Z}$](https://tex.z-dn.net/?f=%24%5Ctheta%3D%5Cfrac%7B%5Cpi%7D%7B2%7D%20%2Bn%20%5Cpi%2C%20n%20%5Cin%20%5Cmathbb%7BZ%7D%24)
It happens because the tangent function is undefined for those values.
There would be 48 blue cards because 48:36 is the same as 4:3
and 48+36 also equals 84
Answer:
The second option: "Even though Antartica is cold and has snow, it is a desert."
Step-by-step explanation:
This is the answer because by reading the paragraph, you will see that the main idea is stated in the first few sentences.