Question

1. convert from radians to degrees. show all work. you can type pi for the symbol π. \\(\frac{22}{15}\\)π

Explanation:

Step1: Recall the conversion formula

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

Step2: Substitute the given radians into the formula

We are given \( \frac{22}{15}\pi \) radians. Substitute this into the formula:
\( \text{Degrees} = \frac{22}{15}\pi \times \frac{180^\circ}{\pi} \)

Step3: Simplify the expression

The \( \pi \) in the numerator and denominator cancels out:
\( \text{Degrees} = \frac{22}{15} \times 180^\circ \)
Now, calculate \( \frac{22}{15} \times 180 \). First, divide 180 by 15: \( 180 \div 15 = 12 \). Then multiply by 22: \( 22 \times 12 = 264 \)

Answer:

\( 264^\circ \)