Question

Find the value of csc (13π/6) using the unit circle.

Answer 1

`csc((13\pi)/(6))=(1)/(sin((13\pi)/(6)))`

The meaning of 13*pi/6 is as if you made 13 complete revolutions around the point pi/6.

therefore, is the same calculate the sin of 13pi/6 than the sin of pi/6.

`\begin{gathered} sin((\pi)/(6))=(1)/(2) \\ sin((13\pi)/(6))=(1)/(2) \end{gathered}`

Substituing:

`csc((13\pi)/(6))=(1)/(sin((13\pi)/(6)))=(1)/((1)/(2))=2`

The answer is: csc(13pi/6)=2.