Find the Degree Measure Corresponding to the Following Radian Measure : \( -\frac{5\pi}{6} \)
To convert a radian measure into degree measure, we use the formula:
\[ \text{Degree} = \text{Radian} \times \frac{180^\circ}{\pi} \]
Given:
\[ -\frac{5\pi}{6} \]
Conversion into Degrees
\[ -\frac{5\pi}{6} \times \frac{180^\circ}{\pi} \]
\[ = -\frac{5 \times 180^\circ}{6} \]
\[ = -5 \times 30^\circ \]
\[ = -150^\circ \]
Answer
\[ -150^\circ \]