Question

question 5
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convert the following angle from degrees to radians. express your answer in simplest
form.
120°
answer
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π

Explanation:

Step1: Recall the conversion formula

To convert degrees to radians, use the formula: radians = degrees × $\frac{\pi}{180}$.

Step2: Substitute the given degree value

For $120^{\circ}$, we have $120\times\frac{\pi}{180}$.

Step3: Simplify the fraction

$\frac{120\pi}{180}=\frac{2\pi}{3}$ (divide numerator and denominator by 60).

Answer:

$\frac{2\pi}{3}$