Question

Express the exact value of csc 60 degrees, with a rational denominator.

Answer 1

\[sin60 = \frac{\sqrt{3}}{2}\]\[csc60 = \frac{1}{sin60} = \frac{1}{\frac{\sqrt{3}}{2}} =...?\]
*Note: all angles here are in degrees

Answer 2

\[\csc60=\frac{1}{\sin60}=\frac{1}{\frac{\sqrt3}{2}}=\frac{2}{\sqrt3}=\frac{2\sqrt3}{3}\]Do you think that works?