Answer:
![3\pi /2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ra035e7czhy09mtkpregt48m9r8imknqx1.png)
Explanation:
The function sin(x) adopts the value -1 for x =
.
That is when the segment pictured in red in the attached image is pointing from the center of the circle down. Recall that the sin function gives us the y-readout of the free end of the rotating segment in the unit circle.