Find a time and a point on the unit circle determined by three pi over two radius, use exact values, not decimal approximation

Answer 1

since x = cosθ and y=sinθ, that would be (0,-1)

Answer 2

Correct! The point on the unit circle determined by three pi over two radians (or 270 degrees) has coordinates (x, y) = (0, -1), meaning it lies on the negative y-axis.