Use the given triangles to evaluate the expression. Rationalize all denominators.
-$$\csc \frac { \pi } { 3 }$$
A) $\frac { 2 \sqrt { 3 } } { 3 }$
B) 2
C) $\frac { \sqrt { 3 } } { 2 }$
D) $\sqrt { 2 }$

Question

Use the given triangles to evaluate the expression. Rationalize all denominators. 
-$$\csc \frac { \pi } { 3 }$$
A) $\frac { 2 \sqrt { 3 } } { 3 }$ 
B) 2 
C) $\frac { \sqrt { 3 } } { 2 }$ 
D) $\sqrt { 2 }$

Quizplus · Accepted Answer

The cosecant of an angle is the reciprocal of the sine of that angle. The sine of pi/3 is sqrt(3)/2, so the cosecant of pi/3 is 1/(sqrt(3)/2) = 2/sqrt(3) = 2sqrt(3)/3.

Use the Given Triangles to Evaluate the Expression csc⁡π3\csc \frac { \pi } { 3 }csc3π​

Use the Given Triangles to Evaluate the Expression $\csc \frac { \pi } { 3 }$