Answer with explanation:
The meaning of the word Domain for a function, y=f(x),is set of all possible values of x for which y, is defined.
The given function is:
y = tan x
x∈(-∞, ∞) that is , x ∈ R,except at those points,where, cos x =0
[tex]\tan x=\frac{\sin x}{\cos x}[/tex]
⇒Cos x=0
[tex]x=n\pi \pm\frac{\pi}{2}[/tex]
Domain of tan x ,is
All Real Numbers except at
[tex]x=n\pi \pm\frac{\pi}{2}[/tex]
=R - { [tex]x= n\pi \pm\frac{\pi}{2}[/tex] }
