Calculate the number of degrees that correspond to the angle, π/6.

Calculate the number of degrees that correspond to the angle, π/6.

• A. 15 degrees
• B. 30 degrees
• C. 45 degrees
• D. 60 degrees

Answer: (B)

The angle represented by π/6 radians can be converted to degrees using the following relationship: 180 degrees is equivalent to π radians. To find the degree measure corresponding to π/6, you set up a proportion: 1. Start with the ratio: \[ \text{Degrees} = \text{Radians} \times \left(\frac{180}{\pi}\right) \] 2. Substitute π/6 for the radians: \[ \text{Degrees} = \frac{\pi}{6} \times \left(\frac{180}{\pi}\right) \] 3. The π cancels out: \[ \text{Degrees} = \frac{180}{6} \] 4. Perform the division: \[ \text{Degrees} = 30 \] Therefore, π/6 radians corresponds to 30 degrees. This conversion process is crucial for understanding how to navigate between radians and degrees, which is a fundamental skill in trigonometry.

The angle represented by π/6 radians can be converted to degrees using the following relationship: 180 degrees is equivalent to π radians. To find the degree measure corresponding to π/6, you set up a proportion:

1. Start with the ratio:

[

\text{Degrees} = \text{Radians} \times \left(\frac{180}{\pi}\right)

]

2. Substitute π/6 for the radians:

[

\text{Degrees} = \frac{\pi}{6} \times \left(\frac{180}{\pi}\right)

]

3. The π cancels out:

[

\text{Degrees} = \frac{180}{6}

]

4. Perform the division:

[

\text{Degrees} = 30

]

Therefore, π/6 radians corresponds to 30 degrees. This conversion process is crucial for understanding how to navigate between radians and degrees, which is a fundamental skill in trigonometry.