On the unit circle, angles are measured in radians, starting from $0$ radians (or $0^\circ$) at the positive $x$-axis and increasing counterclockwise.

To locate $\frac{3\pi}{2}$:

1. Convert to degrees (if needed):
   $\frac{3\pi}{2} \text{ radians} = 270^\circ$

2. Position on the unit circle:
   An angle of $270^\circ$ corresponds to the point on the negative $y$-axis.

3. Coordinates:
   The coordinates of this point are $(0, -1)$, because the point is directly down from the origin on the unit circle.

So, the point corresponding to $\frac{3\pi}{2}$ on the unit circle is (0, -1).

Would you like more details on how the unit circle works, or do you have any questions?

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Here are some related questions:

1. What are the coordinates for $\frac{\pi}{2}$ on the unit circle?
2. Can you explain why $\frac{3\pi}{2}$ corresponds to $270^\circ$?
3. How do you convert between degrees and radians?
4. What is the importance of the unit circle in trigonometry?
5. How would you locate $\frac{7\pi}{4}$ on the unit circle?

Tip: Always remember that a full circle is $2\pi$ radians or $360^\circ$. This helps in converting and understanding angle positions easily.