Question

the domin and range of the function f(x) =tan xis​

Answer 1

Answer: R

Step by-step explanation:It means that tan x will be defined for all values except the values that will make cos x = 0, because a fraction with denominator 0 is not defined. Hence, for these values, tan x is not defined. So, the domain of f(x) = tan x will be R – \(\frac{(2n+1)π}{2}\) and the range will be set of all real numbers, R.

Answer 2

Question:

The domain and range of the function f(x) = tan x is:

Solution:

Domain of $f(x)$

= $\bigg \{ \theta :\theta=\frac{n \pi}{2} ; n \: \epsilon \: [even~integer] \bigg \}$

Range of $f(x)$ = $\bigg( - \infty, \infty \bigg)$