Question

standard 13 homework
score: 4/27 answered: 3/22
question 4
convert the angle \\( \frac { 7 \pi } { 6 } \\) from radians to degrees.
\\( \frac { 7 \pi } { 6 } = \\) degrees
question help: video message instructor post to forum

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

Answer:

\(210\)