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

Short Answer

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

Step by step solution

01

Identify the conversion formula

The formula for converting radians to degrees is: \( degrees = radians \times \frac{180}{\pi} \)
02

Substitute the value of radians

Substitute the given radians \( \frac{2 \pi}{3} \) into the formula: \( degrees = \frac{2 \pi}{3} \times \frac{180}{\pi} \)
03

Carry out the calculation

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

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