# How do you find the domain and range of g(t) = 3 sin t?

Domain: $t \setminus \in \setminus m a t h \boldsymbol{R}$ & range: $\left[- 3 , 3\right]$

#### Explanation:

Given function:

$g \left(t\right) = 3 \setminus \sin t$

The above trigonometric function $g \left(t\right) = 3 \setminus \sin t$ is continuous every where so its domain is the entire set of real numbers i.e. $t \setminus \in \setminus m a t h \boldsymbol{R}$

We know that

$- 1 \setminus \le \setminus \sin t \setminus \le 1$

$- 3 \setminus \le 3 \setminus \sin t \setminus \le 3$

hence, the range of given function is $\left[- 3 , 3\right]$