You may have confused $\displaystyle{{30}}^{\circ}\usepackage{cmbright}\Huge\$ and $\displaystyle{{60}}^{\circ}\usepackage{cmbright}\Huge\$ or opposite and adjacent sides. Refer to the $\displaystyle{{30}}^{\circ}-{{60}}^{\circ}-{{90}}^{\circ}\usepackage{cmbright}\Huge\$ triangle and use the definition of sine. The side opposite $\displaystyle{{60}}^{\circ}\usepackage{cmbright}\Huge\$ has length $\displaystyle\sqrt{{3}}\usepackage{cmbright}\Huge\$ . Once you have found the value of sine, remember that the value of cosecant is the reciprocal of this.