Question

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convert the angle \\( \frac{7\pi}{3} \\) radians to degrees.
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Explanation:

Step1: Use radians to degrees formula

To convert radians to degrees, multiply by $\frac{180^\circ}{\pi}$.

Step2: Substitute the given angle

$$\frac{7\pi}{3} \times \frac{180^\circ}{\pi}$$

Step3: Simplify the expression

Cancel $\pi$, then calculate $\frac{7 \times 180}{3} = 7 \times 60 = 420$

Answer:

$420^\circ$