We have to write each measure in radians and in terms of π.
We will use the fact that a full circle is 360° and also 2π radians, so we will use it as a conversion factor.
We can convert 315° as:
[tex]315\degree\cdot\frac{2\pi}{360\degree}=\frac{315}{360}\cdot2\pi=\frac{7}{8}\cdot2\pi=\frac{7\pi}{4}\text{ }rad[/tex]We can convert -450° as:
[tex]-450\degree\cdot\frac{2\pi}{360\degree}=\frac{-450}{360}\cdot2\pi=-\frac{5}{4}\cdot2\pi=\frac{-5\pi}{2}\text{ }rad[/tex]Answer:
315° = 7π/4 rad
-450° = -5π/2 rad
