Question

convert the angle measure from radians to degrees.

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$$\begin{tabular}{|c|c|} \\hline radians & degrees \\\\ \\hline \\(\\frac{5\\pi}{6}\\) & \\\\ \\hline \\(\\frac{7\\pi}{4}\\) & \\\\ \\hline \\(\\frac{13\\pi}{12}\\) & \\\\ \\hline \\end{tabular}$$

Explanation:

Convert \(\frac{5\pi}{6}\) radians to degrees

$$ \frac{5\pi}{6} \times \frac{180^\circ}{\pi} = 5 \times 30^\circ = 150^\circ $$

Convert \(\frac{7\pi}{4}\) radians to degrees

$$ \frac{7\pi}{4} \times \frac{180^\circ}{\pi} = 7 \times 45^\circ = 315^\circ $$

Convert \(\frac{13\pi}{12}\) radians to degrees

$$ \frac{13\pi}{12} \times \frac{180^\circ}{\pi} = 13 \times 15^\circ = 195^\circ $$

Answer:

Radians	Degrees
\(\frac{7\pi}{4}\)	\(315^\circ\)
\(\frac{13\pi}{12}\)	\(195^\circ\)