College Algebra & Trigonometry, 2018a

348 CHAPTER 8. RIGHT TRIANGLE TRIGONOMETRY
Examples - Degrees to Radians
Convert 60 ◦ to radians
π
180 ◦ ∗60 ◦ = π 3
Convert 142 ◦ to radians
π
180
∗142 ◦ = 71π
◦ 90
or 0.78π.
Examples - Radians to Degrees
Convert
π
10
to degrees
180 ◦
π ∗ π 10 =18◦
Convert π 2
to degrees
180 ◦
π ∗π 2 =90◦
Another way to convert radians to degrees is to simply replace the π with 180 ◦ :
π
10 =180◦ 10 =18◦
π
2 =180◦ 2 =90◦