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33 votes
33 votes
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!

i’m confused on this question. every answer i get is different. it’s a pretest with-example-1
User Momar
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1 Answer

13 votes
13 votes

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} (2012)/(360)=5(212)/(360) \\ \implies2012\degree-5(360\degree)=212\degree \end{gathered}

The coterminal angle to 2012 degrees is 212 degrees.

User James Cooke
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2.9k points