The graph of $\displaystyle{y}={\sin{{\left(\theta-{2}\pi\right)}}}\usepackage{cmbright}\Huge\$ is the same as the graph of $\displaystyle{y}={\sin{\theta}}\usepackage{cmbright}\Huge\$ shifted $\displaystyle{2}\pi\usepackage{cmbright}\Huge\$ units to the right. But because the graph of $\displaystyle{y}={\sin{\theta}}\usepackage{cmbright}\Huge\$ has a pattern that repeats every $\displaystyle{2}\pi\usepackage{cmbright}\Huge\$ units, this means that the graph of $\displaystyle{y}={\sin{{\left(\theta-{2}\pi\right)}}}\usepackage{cmbright}\Huge\$ is exactly the same as the graph of $\displaystyle{y}={\sin{\theta}}\usepackage{cmbright}\Huge\$ . This is the graph shown.