You may have confused tangent with cosecant. This value is equal to $\displaystyle{{\csc{{30}}}}^{\circ}\usepackage{cmbright}\Huge\$ . To calculate tangent, use $\displaystyle{\tan{\theta}}=\frac{{y}}{{x}}\usepackage{cmbright}\Huge\$ . The correct answer is $\displaystyle\frac{\sqrt{{{3}}}}{{3}}\usepackage{cmbright}\Huge\$ .