Question

What describes the domain of y=tanx, where n is any integer?

Answer 1

Assuming you meant "where x is any integer":

$\tan{x}$ is defined as $\frac{\sin{x}}{\cos{x}}$, so it would be defined for every value of $x$ except for those where $\cos{x}=0$, which is true when $x= \frac{\pi}{2} +2\pi k$ and $x= \frac{3\pi}{2} +2\pi k$, where $k$ is some integer. These values of $x$ where $\tan{x}$ is undefined are both irrational; they cannot be expressed as a ratio between two integers, and so limiting the domain to integers makes sure that we'll skip over those points every time as $x$ is increasing.

So, the domain of $y=\tan{x}$, when limiting that domain to the integers, is the set of all integers, $\mathbb{Z}$.

Answer 2

Answer:

x $\neq$ π/2 ± nπ

Step-by-step explanation:

a p e x :)