Question 384770: express in polar form, using the smallest non-negative value for the argument.
-1/2 + radical 3/2 i
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! express in polar form, using the smallest non-negative value for the argument.
-1/2 + radical 3/2 i
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r = sqrt[(1/2)^2 + (sqrt(3)/2)^2] = sqrt[1/4 + 3/4] = 1
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theta = arctan[(sqrt(3)/2)/(1/2)] = arctan[sqrt(3)] = 60 degrees
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But the point is in the 2nd Quadrant so theta = 120 degrees or (2pi/3)
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Polar Form: 1(cos(2pi/3)+isin(2pi/3))
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Cheers,
Stan H.
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