$ ext{Find the cosecant of an angle at 30 degrees on the unit circle.}$

The unit circle value for sine at 30 degrees is $\frac{1}{2}$. The cosecant is the reciprocal of sine.

$ \csc(30^{\circ}) = \frac{1}{\sin(30^{\circ})} = \frac{1}{\frac{1}{2}} = 2 $

So, the cosecant of 30 degrees is 2.

We know that the sine of 30 degrees on the unit circle is $frac{1}{2}$. To find the cosecant, we take the reciprocal.

$ csc(30^{circ}) = frac{1}{sin(30^{circ})} = frac{1}{frac{1}{2}} = 2 $

Thus, the cosecant of 30 degrees is 2.

The sine of 30 degrees is $frac{1}{2}$. The cosecant is the reciprocal:

$ csc(30^{circ}) = frac{1}{sin(30^{circ})} = frac{1}{frac{1}{2}} = 2 $

Therefore, the cosecant of 30 degrees is 2.

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