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question 3 convert the angle 300° to radians. give the exact value and …

Question

question 3
convert the angle 300° to radians. give the exact value and use pi for π.

Explanation:

Step1: Recall the conversion formula

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

Step2: Substitute the value of degrees

Substitute \(300^{\circ}\) into the formula: \(300\times\frac{\pi}{180}\)

Step3: Simplify the fraction

\(300\times\frac{\pi}{180}=\frac{300\pi}{180}=\frac{5\pi}{3}\)

Answer:

\(\frac{5\pi}{3}\)