Find the terminal point on the unit circle determined by 3π2 radians.Use exact values, not decimal approximations.

The terminal point on the unit circle determined by 3π/2 radians is found by considering the unit circle in the Cartesian coordinate system.

1. The unit circle is a circle with a radius of 1 that is centered at the origin (0,0) of the Cartesian coordinate system.

2. A radian measure of 3π/2 corresponds to an angle that is 270 degrees counterclockwise from the positive x-axis.

3. At this point on the unit circle, the x-coordinate is the cosine of the angle and the y-coordinate is the sine of the angle.

4. The cosine of 270 degrees (or 3π/2 radians) is 0 and the sine of 270 degrees (or 3π/2 radians) is -1.

Therefore, the terminal point on the unit circle determined by 3π/2 radians is (0, -1).