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The problem asks to find the coordinates of the point on the unit circle corresponding to the angle \( P\left( -\frac{3\pi}{2} \right) \).

### Step-by-Step Solution:
1. **Interpret the angle:**  
   The angle \( -\frac{3\pi}{2} \) is a negative angle, so it is measured in the clockwise direction.  
   
   To find the equivalent positive angle, we can add \( 2\pi \) to \( -\frac{3\pi}{2} \):
   \[
   -\frac{3\pi}{2} + 2\pi = \frac{\pi}{2}
   \]
   This means \( -\frac{3\pi}{2} \) is coterminal with \( \frac{\pi}{2} \), which corresponds to the positive y-axis on the unit circle.

2. **Determine the coordinates:**  
   The angle \( \frac{\pi}{2} \) points directly upwards on the unit circle. The coordinates of this point on the unit circle are:
   \[
   (x, y) = (0, 1)
   \]

Therefore, the coordinates of the point corresponding to \( P\left( -\frac{3\pi}{2} \right) \) are \( \boxed{(0, 1)} \).

Would you like more details on how unit circle coordinates are derived or have any further questions?

### Related Questions:
1. What are the coordinates of the point at \( P\left( \frac{\pi}{2} \right) \)?
2. What is the significance of coterminal angles on the unit circle?
3. How do you find the coordinates of \( P\left( \frac{3\pi}{2} \right) \)?
4. How do negative and positive angles relate on the unit circle?
5. What are the sine and cosine values of \( \frac{\pi}{2} \)?

**Tip:** Remember that coterminal angles have the same terminal point on the unit circle, meaning their coordinates are identical!

Визнач координати точки числового кола P(-3π/2)

This problem involves finding the coordinates of a point on the unit circle corresponding to the angle P(-3π/2). It covers important trigonometric concepts such as coterminal angles and uses the unit circle theorem to derive the solution. Suitable for Grades 9-12.

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