Problem 23 - Precalculus Essentials

Question

Convert each angle in radians to degrees. $$\frac{2 \pi}{3}$$

Step-by-Step Solution

Answer

The equivalent of \( \frac{2 \pi}{3} \) radians in degrees is 120 degrees.

Step 1: Identify the conversion formula

The formula for converting radians to degrees is: \( degrees = radians \times \frac{180}{\pi} \)

Step 2: Substitute the value of radians

Substitute the given radians \( \frac{2 \pi}{3} \) into the formula: \( degrees = \frac{2 \pi}{3} \times \frac{180}{\pi} \)

Step 3: Carry out the calculation

Cancel out \( \pi \) in the equation and multiply \( \frac{2}{3} \) by 180 to get the angle in degrees.