Question

1. convert from degrees to radians. you can type pi for the symbol π. 300°

Explanation:

Step1: Recall the conversion formula

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

Step2: Substitute the given degree value

We are given \(300^\circ\). Substitute this into the formula: \(\text{Radians} = 300^\circ \times \frac{\pi}{180^\circ}\).

Step3: Simplify the expression

Simplify \(\frac{300}{180}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 60. So, \(\frac{300\div60}{180\div60}=\frac{5}{3}\). Thus, \(300^\circ\times\frac{\pi}{180^\circ}=\frac{5\pi}{3}\).

Answer:

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