question\nconvert the angle $\\frac{7\\pi}{3}$ radians to degrees.\nanswer attempt 1 out of 2\nsubmit answer
question\nconvert the angle $\\frac{7\\pi}{3}$ radians to degrees.\nanswer attempt 1 out of 2\nsubmit answer
Answer
Explanation:
Step1: Use the conversion formula
To convert radians to degrees, use the formula ( \text{Degrees}=\text{Radians}\times\frac{180^{\circ}}{\pi}). For the angle (\frac{7\pi}{3}) radians, we substitute into the formula: (\frac{7\pi}{3}\times\frac{180^{\circ}}{\pi}).
Step2: Simplify the expression
The (\pi) terms cancel out: (\frac{7}{3}\times180^{\circ}). Then, (180\div3 = 60), and (7\times60^{\circ}=420^{\circ}).
Answer:
(420)