SOLUTION: Find the angle of least nonnegative measure that is coterminal with -4pi/3. Then find the measure of the negative angle that is coterminal with -4pi/3 such that the angle lies bet

Algebra ->  Trigonometry-basics -> SOLUTION: Find the angle of least nonnegative measure that is coterminal with -4pi/3. Then find the measure of the negative angle that is coterminal with -4pi/3 such that the angle lies bet      Log On


   

Question 1092235: Find the angle of least nonnegative measure that is coterminal with -4pi/3. Then find the measure of the negative angle that is coterminal with -4pi/3 such that the angle lies between -4pi and -2pi.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+-4pi%2F3+=+-pi+-pi%2F3+
This is the same thing as
+pi+-+pi%2F3+=+2p%2F3+
as a positive angle
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+-4pi%2F3+
I can rotate this angle by another
+-2pi+ radians without changing
it at all.
+-4pi%2F3+-+6pi%2F3+=+-10pi%2F3+
This angle is between
+-12pi%2F3+and+-6pi%2F3+
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Get a 2nd opinion if needed