Question

convert the angle $\frac{-7\pi}{6}$ from radians to degrees: $\frac{-7\pi}{6}=\square^{circ}$

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 radian 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 the \( \pi\) terms: \( \frac{-7}{6}\times180^{\circ}\). Then calculate \( \frac{-7\times180^{\circ}}{6}=-7\times30^{\circ}=-210^{\circ}\).

Answer:

\(-210\)