Find the measures of two angles, one positive and one negative, that are coterminal with pi/6.
13pi/6; -pi/6
pi/6+360 degrees; pi/6-360 degrees
7pi/6; -5pi/6
13pi/6; -11pi/6
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OpenStudy (anonymous):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
what does coterminal mean?
jimthompson5910 (jim_thompson5910):
any ideas?
OpenStudy (anonymous):
different angles? @jim_thompson5910
OpenStudy (anonymous):
@zepdrix
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jimthompson5910 (jim_thompson5910):
If two angles are coterminal, then they point in the same direction
jimthompson5910 (jim_thompson5910):
for example, 0 degrees and 360 degrees both point directly east
OpenStudy (anonymous):
ohh
jimthompson5910 (jim_thompson5910):
since 360 degrees = 2pi radians, we just add on 2pi radians to any given angle in radians to get another coterminal angle
jimthompson5910 (jim_thompson5910):
or...you could subtract 2pi from the given radian angle to get another coterminal angle
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OpenStudy (anonymous):
so it would be B? @jim_thompson5910
jimthompson5910 (jim_thompson5910):
start off with pi/6 and add on 2pi
jimthompson5910 (jim_thompson5910):
you will get ???
OpenStudy (anonymous):
450 degrees
jimthompson5910 (jim_thompson5910):
we're in radian mode
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jimthompson5910 (jim_thompson5910):
\[\Large \frac{\pi}{6} + 2\pi = ???\]
OpenStudy (anonymous):
13pi/6?
jimthompson5910 (jim_thompson5910):
do you see how to get that?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
And when I subtracted, I got -11pi/6
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