Question

1. convert 570° to radians. a) \\(\frac{19\pi}{5}\\) b) \\(\frac{19\pi}{12}\\) c) \\(\frac{19\pi}{6}\\) d) \\(\frac{19\pi}{3}\\)

Explanation:

Step1: Recall degree-radian conversion

We use the conversion factor $1^\circ = \frac{\pi}{180}$ radians.

Step2: Multiply degrees by conversion factor

$570^\circ \times \frac{\pi}{180} = \frac{570\pi}{180}$

Step3: Simplify the fraction

$\frac{570\pi}{180} = \frac{19\pi}{6}$

Answer:

c) $\frac{19\pi}{6}$