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Sagot :
Given:
The function is
[tex]y=\tan x[/tex]
To find:
The domain of the given function.
Solution:
We know that, domain is the set of x-values or input values.
We have,
[tex]y=\tan x[/tex]
[tex]y=\dfrac{\sin x}{\cos x}[/tex]
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 [tex]-\infty<x<\infty, x\neq \dfrac{\pi}{2}+n\pi[/tex].
Note: All options are incorrect.
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