Question

convert the angle \frac{7\pi}{6} from radians to degrees. \frac{7\pi}{6}= degrees question help: video message instructor post to forum submit question

Explanation:

Step1: Recall the conversion formula

To convert radians to degrees, use the formula: \( \text{Degrees}=\text{Radians}\times\frac{180^{\circ}}{\pi}\)

Step2: Substitute the given value

Substitute \( \text{Radians}=\frac{7\pi}{6}\) into the formula: \( \frac{7\pi}{6}\times\frac{180^{\circ}}{\pi}\)

Step3: Simplify the expression

Cancel out \( \pi\): \( \frac{7}{6}\times180^{\circ}\)
Then calculate \( \frac{7\times180^{\circ}}{6}=7\times30^{\circ} = 210^{\circ}\)

Answer:

\(210\)