state the polar form of complex numbers?

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  • 1 decade ago
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    If you have a complex number a + bi, the polar form is calculated as follows:

    r = √(a² + b²)

    θ = arctan(b/a)

    With θ, you have to be careful; if a is negative:

    θ = π + arctan(b/a)

    bag o' hot air is right; I fixed it.

  • 1 decade ago

    The answer above is mostly correct, but it should read that for the case where a < 0 there should be a plus sign instead of the minus sign:

    theta = pi + arctan(b/a).

    Plus if a = 0 then theta is pi/2 if b > 0 and -pi/2 if b < 0. If both a and b are zero, then it doesn't matter what theta is since r = 0. Cheers!

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