https://file.aiquickdraw.com/mathbot/file/17303531125544012p2b3.jpg

Let's go over the coordinates in each row and compare them to the unit circle values.

1. **0**: \((1, 0)\) — Correct.
2. **\(\frac{\pi}{6}\)**: \(\left(\frac{\sqrt{3}}{2}, \frac{1}{2}\right)\) — Correct.
3. **\(\frac{\pi}{4}\)**: \(\left(\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2}\right)\) — Correct.
4. **\(\frac{\pi}{3}\)**: \(\left(\frac{1}{2}, \frac{\sqrt{3}}{2}\right)\) — Correct.
5. **\(\frac{\pi}{2}\)**: \((0, 1)\) — Correct.
6. **\(\pi\)**: \((-1, 0)\) — Correct.
7. **\(\frac{3\pi}{2}\)**: \((0, -1)\) — Correct.
8. **\(2\pi\)**: \((1, 0)\) — Correct.

All entries are accurate according to the standard unit circle values.

Do you want more details on unit circle coordinates? 

Here are 5 follow-up questions to deepen understanding:
1. What are the coordinates for \( \frac{5\pi}{6} \) on the unit circle?
2. How do coordinates change as we move counterclockwise around the unit circle?
3. Why is the unit circle important in trigonometry?
4. How would you find the coordinates for \( \frac{7\pi}{4} \)?
5. What is the significance of the reference number in trigonometry?

**Tip:** Memorizing the unit circle can make solving trigonometric equations easier.

Check if the coordinates of the terminal points for given arc lengths on the unit circle are correct.

Review and confirm the accuracy of coordinates for terminal points on the unit circle based on common angles in radians. This solution covers key trigonometric concepts and provides a check against standard unit circle values, suitable for high school students.

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