Respuesta :

Given:

There is a unit circle given in the question

Required:

We need to find that for what value, sin function is -1

Explanation:

As we know that x cooedinate represents the cos function and y coordinat represents the sin function

So here

[tex]\begin{gathered} sin\theta=-1 \\ \theta=sin^{-1}1 \\ \theta=\frac{3\pi}{2} \end{gathered}[/tex]

Final answer:

[tex]\theta=\frac{3\pi}{2}[/tex]