Express the following angles in radians.
(i) `120^(@) " " (ii) -600^(@)`
(iii) `-144^(@)`

Answer

To express the given angles in radians, we will use the formula:

\[ \text{Radians} = \text{Degrees} \times \frac{\pi}{180} \]

Now, let's solve each part step by step.

### (i) Convert 120 degrees to radians

1. **Apply the formula**:
\[ \text{Radians} = 120 \times \frac{\pi}{180} \]

2. **Simplify the expression**:
- Cancel out the common factors:
\[ = \frac{120\pi}{180} \]
- Divide both the numerator and the denominator by 60:
\[ = \frac{2\pi}{3} \]

**Final answer for (i)**:
\[ 120^\circ = \frac{2\pi}{3} \text{ radians} \]

### (ii) Convert -600 degrees to radians

1. **Apply the formula**:
\[ \text{Radians} = -600 \times \frac{\pi}{180} \]

2. **Simplify the expression**:
- Cancel out the common factors:
\[ = \frac{-600\pi}{180} \]
- Divide both the numerator and the denominator by 60:
\[ = \frac{-10\pi}{3} \]

**Final answer for (ii)**:
\[ -600^\circ = -\frac{10\pi}{3} \text{ radians} \]

### (iii) Convert -144 degrees to radians

1. **Apply the formula**:
\[ \text{Radians} = -144 \times \frac{\pi}{180} \]

2. **Simplify the expression**:
- Cancel out the common factors:
\[ = \frac{-144\pi}{180} \]
- Divide both the numerator and the denominator by 36:
\[ = \frac{-4\pi}{5} \]

**Final answer for (iii)**:
\[ -144^\circ = -\frac{4\pi}{5} \text{ radians} \]

### Summary of Answers
- (i) \( 120^\circ = \frac{2\pi}{3} \text{ radians} \)
- (ii) \( -600^\circ = -\frac{10\pi}{3} \text{ radians} \)
- (iii) \( -144^\circ = -\frac{4\pi}{5} \text{ radians} \)