On the interval $\displaystyle{\left[-{2}\pi,{2}\pi\right]}\usepackage{cmbright}\Huge\$ , the graph of sine has the following pattern: hill, valley, hill, valley. The function attains its maximum value of 1 at the two points on top of the two hills. These points occur where $\displaystyle\theta=-\frac{{{3}\pi}}{{2}}\usepackage{cmbright}\Huge\$ and $\displaystyle\theta=\frac{\pi}{{2}}\usepackage{cmbright}\Huge\$ .