Subjects trigonometry

Degrees To Radians 582F04

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1. The problem is to convert 60 degrees to radians and express the answer in simplest form. 2. The formula to convert degrees to radians is $$\text{radians} = \text{degrees} \times \frac{\pi}{180}$$. 3. Substitute 60 degrees into the formula: $$60 \times \frac{\pi}{180}$$ 4. Simplify the fraction by dividing numerator and denominator by 60: $$\cancel{60} \times \frac{\pi}{\cancel{180}} = 1 \times \frac{\pi}{3} = \frac{\pi}{3}$$ 5. Therefore, 60 degrees is equal to $$\frac{\pi}{3}$$ radians in simplest form.