Answer:
[tex] -306^\circ [/tex]
Step-by-step explanation:
The conversion from radians to degrees is
[tex] 2\pi~rad = 360^\circ [/tex]
Dividing both sides by 2, you get
[tex] \pi~rad = 180^\circ [/tex]
Divide both sides of the conversion equation just above by pi radians.
[tex] \dfrac{\pi~rad}{\pi~rad} = \dfrac{180^\circ}{\pi~rad} [/tex]
[tex] 1 = \dfrac{180^\circ}{\pi~rad} [/tex]
The fraction on the right side is the conversion factor from radians to degrees. Since it equals 1, when you multiply a radian measure by it, you don't change the amount since it equals 1. You just change the units.
[tex] -1.7\pi ~rad \times \dfrac{180^\circ}{\pi~rad} = -1.7 \times 180^\circ = -306^\circ [/tex]
