Question

What is the graph of `y=sin (x/3)`?

Answer 1

First, calculate the period.

`omega=(2pi)/B=(2pi)/(1/3)=((2pi)/1)*(3/1)=6pi`

Break up `6pi` into fourth by dividing by `4`.

`(6pi)/(4)=(3pi)/(2)`

`0,(3pi)/(2),3pi,(9pi)/2,6pi ->x`-values

These `x` values correspond to ...

`sin(0)=0`

`sin((pi)/(2))=1`

`sin(pi)=0`

`sin((3pi)/2)=-1`

`sin(2pi)=0`

Enter the function using the Y= button

Press the WINDOW button.
Enter the Xmin of `0` and Xmax of `6pi`.
The calculator converts `6pi` to its decimal equivalent.

Press the GRAPH button.