Question

What is the domain of y = tan x? A. (–∞, ∞) B. C. all D. all

Answer 1

C

Explanation:

all x≠pi/2+pi n

Answer 2

Given:

The function is

`y=\tan x`

To find:

The domain of the given function.

Solution:

We know that, domain is the set of x-values or input values.

We have,

`y=\tan x`

`y=(\sin x)/(\cos x)`

The functions sin x and cos x are defined for all real values of x. So, the function tan x is defined for all real values of x except those value for which cos x = 0.

So, domain is
`-\infty<x<\infty, x\\eq (\pi)/(2)+n\pi`.

Note: All options are incorrect.