Convert the angle from degree to radian :
`{:((a)" "30^(@),(b)" "45^(@)),((c)" "60^(@),(d)" "90^(@)),((e)" "120^(@),(f)" "135^(@)),((g)" "210^(@),(h)" "270^(@)),((i)" "315^(@),):}`

Answer

To convert angles from degrees to radians, we use the formula:

\[ \text{radians} = \text{degrees} \times \frac{\pi}{180} \]

Now, let's convert each angle step by step:

### Step 1: Convert 30 degrees
\[ 30^\circ \times \frac{\pi}{180} = \frac{30\pi}{180} = \frac{\pi}{6} \text{ radians} \]

### Step 2: Convert 45 degrees
\[ 45^\circ \times \frac{\pi}{180} = \frac{45\pi}{180} = \frac{\pi}{4} \text{ radians} \]

### Step 3: Convert 60 degrees
\[ 60^\circ \times \frac{\pi}{180} = \frac{60\pi}{180} = \frac{\pi}{3} \text{ radians} \]

### Step 4: Convert 90 degrees
\[ 90^\circ \times \frac{\pi}{180} = \frac{90\pi}{180} = \frac{\pi}{2} \text{ radians} \]

### Step 5: Convert 120 degrees
\[ 120^\circ \times \frac{\pi}{180} = \frac{120\pi}{180} = \frac{2\pi}{3} \text{ radians} \]

### Step 6: Convert 135 degrees
\[ 135^\circ \times \frac{\pi}{180} = \frac{135\pi}{180} = \frac{3\pi}{4} \text{ radians} \]

### Step 7: Convert 210 degrees
\[ 210^\circ \times \frac{\pi}{180} = \frac{210\pi}{180} = \frac{7\pi}{6} \text{ radians} \]

### Step 8: Convert 270 degrees
\[ 270^\circ \times \frac{\pi}{180} = \frac{270\pi}{180} = \frac{3\pi}{2} \text{ radians} \]

### Step 9: Convert 315 degrees
\[ 315^\circ \times \frac{\pi}{180} = \frac{315\pi}{180} = \frac{7\pi}{4} \text{ radians} \]

### Summary of Results:
- \(30^\circ = \frac{\pi}{6} \text{ radians}\)
- \(45^\circ = \frac{\pi}{4} \text{ radians}\)
- \(60^\circ = \frac{\pi}{3} \text{ radians}\)
- \(90^\circ = \frac{\pi}{2} \text{ radians}\)
- \(120^\circ = \frac{2\pi}{3} \text{ radians}\)
- \(135^\circ = \frac{3\pi}{4} \text{ radians}\)
- \(210^\circ = \frac{7\pi}{6} \text{ radians}\)
- \(270^\circ = \frac{3\pi}{2} \text{ radians}\)
- \(315^\circ = \frac{7\pi}{4} \text{ radians}\)