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z = root of j
where j = (-1)

2007-02-10 08:43:51 · 2 answers · asked by Fred 1 in Science & Mathematics Engineering

sorry i meant square root of -1

2007-02-10 09:27:29 · update #1

2 answers

Hi. I'm not so sure what engineering format is, but polar format can be found by using

r exp(iφ) = r (cos(φ) + isin(φ))

now say z = sqrt(-1) = i, so φ=90 deg = π/2 and r=1
or i = exp(i π/2)

I guess you mean all roots,I'm not quite sure...

(-1)^(1/n) = (-1)^(1/2 x 2/n) = i^(2/n) = exp(i π/n)

2007-02-10 09:03:12 · answer #1 · answered by Peter R 2 · 0 0

The square root of minus 1 is i. In polar format, that's r=1, theta = pi/2.

2007-02-10 18:03:53 · answer #2 · answered by zee_prime 6 · 0 0

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