Question

draw the angle in standard position
\frac{5\pi}{6}
choose the correct answer

Explanation:

Step1: Convert the angle from radians to degrees

We know that the conversion formula from radians to degrees is \( \theta_{degrees}=\theta_{radians}\times\frac{180^{\circ}}{\pi}\).
For \( \theta = \frac{5\pi}{6}\), then \( \frac{5\pi}{6}\times\frac{180^{\circ}}{\pi}=150^{\circ}\)

Step2: Analyze the position of the angle in standard - position

An angle in standard - position has its vertex at the origin and its initial side along the positive \(x\) - axis.
A \(150^{\circ}\) angle is in the second quadrant.

Answer:

B.