https://file.aiquickdraw.com/mathbot/file/17289638956343bt2zbb4.jpg

Let's break down the image and start working on the problems step by step.

### Part I: Complete the Table (Degree to Radian and Radian to Degree Conversion)

#### Formulae to use:
- To convert degrees to radians: 
  \[
  \text{Radians} = \frac{\pi}{180^\circ} \times \text{Degrees}
  \]
- To convert radians to degrees: 
  \[
  \text{Degrees} = \frac{180^\circ}{\pi} \times \text{Radians}
  \]

Now let's work through the table:

1. **600° to Radians**:
   \[
   \frac{\pi}{180} \times 600^\circ = \frac{600\pi}{180} = \frac{10\pi}{3} \text{ radians}
   \]

2. **Radian measure \( \frac{5\pi}{4} \) to Degrees**:
   \[
   \frac{180^\circ}{\pi} \times \frac{5\pi}{4} = \frac{180 \times 5}{4} = 225^\circ
   \]

3. **-1,900° to Radians**:
   \[
   \frac{\pi}{180} \times -1,900^\circ = \frac{-1,900\pi}{180} = \frac{-190\pi}{18} = \frac{-95\pi}{9} \text{ radians}
   \]

4. **Radian measure \( \frac{7\pi}{3} \) to Degrees**:
   \[
   \frac{180^\circ}{\pi} \times \frac{7\pi}{3} = \frac{180 \times 7}{3} = 420^\circ
   \]

5. **1,040° to Radians**:
   \[
   \frac{\pi}{180} \times 1,040^\circ = \frac{1,040\pi}{180} = \frac{52\pi}{9} \text{ radians}
   \]

6. **Radian measure \( \frac{6\pi}{5} \) to Degrees**:
   \[
   \frac{180^\circ}{\pi} \times \frac{6\pi}{5} = \frac{180 \times 6}{5} = 216^\circ
   \]

7. **972° to Radians**:
   \[
   \frac{\pi}{180} \times 972^\circ = \frac{972\pi}{180} = \frac{27\pi}{5} \text{ radians}
   \]

8. **Radian measure \( \frac{11\pi}{2} \) to Degrees**:
   \[
   \frac{180^\circ}{\pi} \times \frac{11\pi}{2} = \frac{180 \times 11}{2} = 990^\circ
   \]

---

### Part II: Identifying Quadrants and Coterminal Angles

To identify

Complete the table of angles in degrees and radians, identify quadrants and smallest positive coterminal angles.

Learn how to convert angles between degrees and radians using formulas, identify the quadrants of angles, and find the smallest positive coterminal angle. This problem involves key trigonometric concepts and is suitable for high school students in Grades 10-12.

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