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Mathematics
Trigonometry
Trigonometric functions and identities
Evaluate. Write your answer in simplified, rationalized form. Do not round.
csc 60°
1 answer
Recall that $\csc \theta = \frac{1}{\sin \theta}$. Therefore, $\csc 60^\circ = \frac{1}{\sin 60^\circ}$. We recognize that $\sin 60^\circ = \frac{\sqrt{3}}{2}$, so $\csc 60^\circ = \frac{1}{\frac{\sqrt{3}}{2}} = \frac{2}{\sqrt{3}}\cdot\frac{\sqrt{3}}{\sqrt{3}} = \boxed{\frac{2\sqrt{3}}{3}}$.
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