Subjects trigonometry

Radians To Degrees 30F0E1

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1. The problem is to convert an angle from radians to degrees. 2. The formula to convert radians to degrees is: $$\text{degrees} = \text{radians} \times \frac{180}{\pi}$$ 3. Given the angle is $\frac{\pi}{3}$ radians, substitute this into the formula: $$\text{degrees} = \frac{\pi}{3} \times \frac{180}{\pi}$$ 4. Simplify by canceling $\pi$: $$\text{degrees} = \cancel{\frac{\pi}{3}} \times \frac{180}{\cancel{\pi}} = \frac{180}{3}$$ 5. Calculate the division: $$\text{degrees} = 60$$ 6. Therefore, $\frac{\pi}{3}$ radians is equal to 60 degrees.