Question

convert the following radian measure to degree measure. (-\frac{7pi}{6}) (-\frac{7pi}{6} = square^circ)

Explanation:

Step1: Recall the conversion formula

To convert radians to degrees, we use the formula: Degree measure = Radian measure × $\frac{180^\circ}{\pi}$.

Step2: Substitute the given radian measure

We have the radian measure $-\frac{7\pi}{6}$. Substitute this into the formula:
\[
-\frac{7\pi}{6} \times \frac{180^\circ}{\pi}
\]

Step3: Simplify the expression

The $\pi$ in the numerator and denominator cancels out. Then we calculate $\frac{-7\times180^\circ}{6}$. First, divide 180 by 6: $180\div6 = 30$. Then multiply by -7: $-7\times30^\circ=-210^\circ$.

Answer:

\(-210\)