SOLUTION: Convert the rectangular point (-8,8sqrt3) to polar coordinates with r>0. Also give two additional ways to represent this point in polar coordinates for which r<0 and -2pi<thet

Algebra ->  Trigonometry-basics -> SOLUTION: Convert the rectangular point (-8,8sqrt3) to polar coordinates with r>0. Also give two additional ways to represent this point in polar coordinates for which r<0 and -2pi<thet      Log On


   

Question 101253: Convert the rectangular point (-8,8sqrt3) to polar coordinates with r>0.
Also give two additional ways to represent this point in polar coordinates
for which r<0 and -2pi *and* r>0 and -2pi
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Convert the rectangular point (-8,8sqrt3) to polar coordinates with r>0.
r=sqrt(8^2+(8sqrt3)^2)= sqrt(256)= 16
theta = tan^-1((8sqrt3)/-8)=tan^-1(-sqrt3)=120 degrees or (2/3)pi
polar form: (16,(2/3)pi)
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(-16,(5/3)pi)

Also give two additional ways to represent this point in polar coordinates
for which r<0 and -2pi (-16,(-pi/3))
------------------
*and* r>0 and -2pi (16,((-4/3)pi))
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Cheers,
Stan H.