Naeema F.
asked • 10/07/20Algebra Question (Complex Numbers)
If z = -2i(√3 + 2i)
What is the polar form of z with the principal argument?
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1 Expert Answer
Mike D. answered • 10/07/20
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Expanding z = -2i√3 - 4i2 = 4 - 2i√3
So this is in 4th quadrant.
r2 = 42 + (2√3)2 = 16 + 12 = 28
r = √ 28
θ = 270 + tan-1 ( 2√3 / 4 )
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Tom K.
I would suspect a typo, as there is only a "nice" answer if the magnitude of the real and imaginary components are in the ratio 1:sqrt(3) or sqrt(3):110/07/20