Question

What is the domain of y = sec(x)?

Answer 1

Answer:

$\mathbb{R}-(n\pi+\frac{\pi}{2})$

Step-by-step explanation:

We have, $\text{y}=\text{sec} x$

This can also be written as $\text{y}=\frac{1}{\text{cos} x}$

For this to be defined, $\text{cos}x\neq 0$

So, the function is defined for all real numbers except when $\text{cos}x=0$

i.e., for $x=(2n+1)\frac{\pi }{2}\text{or}x=n\pi+\frac{\pi}{2}$

Therefore, the domain of $\text{y}=\text{sec} x$ is $\mathbb{R}-(n\pi+\frac{\pi}{2})$

Answer 2

What is the domain of y = sec(x)?

Domain:
All real numbers except pi/1 + n*Pi

Range:
(-inf , -1] U [1 , + inf)