# What is the graph of y=sin(x/2)?

Oct 6, 2014

First, calculate the period.

$\omega = \frac{2 \pi}{B} = \frac{2 \pi}{\frac{1}{2}} = \left(\frac{2 \pi}{1}\right) \cdot \left(\frac{2}{1}\right) = 4 \pi$

Break up $6 \pi$ into fourth by dividing by $4$.

$\frac{4 \pi}{4} = \pi$

$0 , \pi , 2 \pi , 3 \pi , 4 \pi \to x$-values

These $x$ values correspond to ...

$\sin \left(0\right) = 0$

$\sin \left(\frac{\pi}{2}\right) = 1$

$\sin \left(\pi\right) = 0$

$\sin \left(\frac{3 \pi}{2}\right) = - 1$

$\sin \left(2 \pi\right) = 0$

Enter the function using the Y= button

Press the WINDOW button.
Enter the Xmin of $0$ and Xmax of $4 \pi$.
The calculator converts $4 \pi$ to its decimal equivalent.

Press the GRAPH button.