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Mathematics 17 Online
OpenStudy (erod0):

HELPPP MEEEEE!!!!!

OpenStudy (erod0):

OpenStudy (erod0):

Picture of the question is attached above.

OpenStudy (mathstudent55):

A full circle, \(360^\circ\), is how many radians?

OpenStudy (erod0):

2 right?

OpenStudy (mathstudent55):

2pi or \(2\pi\)

OpenStudy (mathstudent55):

\(2 \pi ~rad = 360^\circ\) Ok?

OpenStudy (erod0):

got it

OpenStudy (mathstudent55):

You have an angle measure in radians. Each time you add or subtract 2pi radians to that angle measure, you have a coterminal angle. The reason is that since 2pi is the same as 360 degrees, adding or subtracting 2pi radians to an angle measure means you are adding or subtracting 360 deg, a full circle, so you end up with a coteminal angle.

OpenStudy (erod0):

So is the answer C?

OpenStudy (mathstudent55):

Since your measure is negative, \(-\dfrac{32}{3} \pi~rad\), just add \(2 \pi\) radians and keep adding \(2 \pi\) radians until you end up with a positive number. That will be your answer.

OpenStudy (mathstudent55):

No, not C.

OpenStudy (triciaal):

coterminal means it ends on the same line

OpenStudy (erod0):

is it B?

OpenStudy (mathstudent55):

Show me the work you did, and I'll tell you whether you're right or wrong. You are going to guess each answer until one is eventually correct.

OpenStudy (erod0):

just give me the freakin answer i am on a time restraint.

OpenStudy (mathstudent55):

You are dealing with a denominator of 3, so \(2\pi = \dfrac{6\pi}{3} \) Add \(\dfrac{6\pi}{3} \) to the given measure, and keep on adding until it is no longer negative.

OpenStudy (erod0):

ok fine. >:(

OpenStudy (erod0):

its E. 4pi/3

OpenStudy (mathstudent55):

-32/3 pi + 6/3 pi = -26/3 pi still negative -26/3 pi + 6/3 pi = -20/3 pi still negative -20/3 pi + 6/3 pi = -14/3 pi still negative -14/3 pi + 6/3 pi = -8/3 pi still negative -8/3 pi + 6/3 pi = -2/3 pi still negative -2/3 pi + 6/3 pi = ???? Do this addition to find your answer.

OpenStudy (mathstudent55):

-2/3 pi + 6/3 pi = 4/3 pi Correct!

OpenStudy (erod0):

Thx ma sleek-feathered onea

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