Question

i’m confused on this question. every answer i get is different. it’s a pretest with material i have not learned before so i’m sure i’m doing it incorrectly. the problem is: “Find a positive angle less than one revolution around the unit circle that is co-terminal with a given angle: 2012°.” i’ve attached an image as well. thank you!

Answer 1

Answer:

212 degrees

Explanation:

First, one revolution is equivalent to 360 degrees.

To find a coterminal angle to any given angle, subtract multiples of 360 from the angle until the left-over value is less than 360 degrees.

$\begin{gathered} \frac{2012}{360}=5\frac{212}{360} \\ \implies2012\degree-5(360\degree)=212\degree \end{gathered}$

The coterminal angle to 2012 degrees is 212 degrees.