Expert: Paul Klarreich - 5/5/2009

Question
What angle is between 0 degrees and 360 degrees and coterminal to 1527 degrees?  In which quadrant does this angle lie?

Answer
Questioner:   karen
Country:  United States
Category:  Calculus
Private:  No
 
Subject:  Pre-Calculus
Question:  What angle is between 0 degrees and 360 degrees and coterminal to 1527 degrees?  In which quadrant does this angle lie?
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Hi, Karen,

Here's the clue: Divide by 360 and look at the remainder.  The remainder should be >= 0 and < 360, even if the angle is negative.  If it is, add back 360 to make it so.

1527 = 4*360 + 87.  << 87 is the remainder.

So 1527 is coterminal with 87 degrees.  Take it from there.