Question 260200: how do i locate 15*pi/4 and 34*pi/3 on a unit circle?
Answer by drk(1908) (Show Source):
You can put this solution on YOUR website! 15(pi/4) is a multiple of pi/4.
remember a unit circle is 2pi. In this case, 8pi/4 = 2pi.
15-8 =7, so we really have
7pi/4.
every pi/4 = 45 degrees, so
7*45 = 315 degrees. This is a 45 degree angle in quad IV
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34pi/3 is multiple of pi/3.
remember a unit circle is 2pi . In this case, 6pi/3 = 2pi
34pi/3-6pi/3-6pi/3-6pi/3-6pi/3-6pi/3 = 4pi/3.
every pi/3 is 60 degrees, so
4*60 = 240, or a 60 degree angle into quad III.
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