Question

convert the angle in radians to degrees. -\frac{5\pi}{3} -\frac{5\pi}{3}=\square^{\circ} (type an integer or a decimal.)

Explanation:

Step1: Recall the conversion formula

To convert radians to degrees, use the formula \( \text{Degrees}=\text{Radians}\times\frac{180^{\circ}}{\pi}\).

Step2: Substitute the given radian value

Given \( -\frac{5\pi}{3}\) radians. Substitute into the formula: \( -\frac{5\pi}{3}\times\frac{180^{\circ}}{\pi}\).

Step3: Simplify the expression

The \(\pi\) terms cancel out. Then \( -\frac{5}{3}\times180^{\circ}=- 5\times60^{\circ}\).

Answer:

\(-300\)