state the polar form of complex numbers?
- Jim BurnellLv 61 decade agoFavorite Answer
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!