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Write the polar coordinates for each of the points on the graph (A, B, C). Use r >= 0 and 0 <= theta < 2π

Let's analyze the points \( A \), \( B \), and \( C \) to determine their polar coordinates based on the provided polar grid.

### Point A:
- It is located on the positive \( y \)-axis at a distance of 5 units from the origin.
- The angle is \( \frac{\pi}{2} \) (90 degrees) since it is on the vertical axis.
- **Coordinates for \( A \):** \( (5, \frac{\pi}{2}) \).

### Point B:
- This point is in the fourth quadrant, at a distance of 8 units from the origin.
- The angle appears to be slightly less than \( \frac{11\pi}{6} \). On closer inspection, it lines up with \( \frac{11\pi}{6} \), or approximately 330 degrees.
- **Coordinates for \( B \):** \( (8, \frac{11\pi}{6}) \).

### Point C:
- This point is in the third quadrant, at a distance of 4 units from the origin.
- The angle appears to be \( \frac{7\pi}{6} \), which corresponds to 210 degrees.
- **Coordinates for \( C \):** \( (4, \frac{7\pi}{6}) \).

### Final Polar Coordinates:
- \( A = (5, \frac{\pi}{2}) \)
- \( B = (8, \frac{11\pi}{6}) \)
- \( C = (4, \frac{7\pi}{6}) \)

Would you like further details or clarifications on polar coordinates? 

Here are five related questions to extend this topic:
1. How do you convert polar coordinates to Cartesian coordinates?
2. What is the difference between positive and negative values of \( r \) in polar coordinates?
3. How do polar and Cartesian coordinate systems relate in terms of equations?
4. Can you find polar coordinates where \( r < 0 \) for a given point?
5. How do you convert angles given in degrees to radians?

**Tip:** When working with polar coordinates, always pay attention to which quadrant the point is in to ensure the angle is correctly measured.

Learn how to determine the polar coordinates of points A, B, and C from a trigonometric graph using key concepts of polar coordinates and angle measurement in radians. This problem involves identifying coordinates based on grid positions and angles.

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