(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If

tan^{-1}z = (1/2i)ln[(1+iz)/(1-iz)]

then find

tan^{-1}[(2sqrt(3) - 3i)/7]

3. The attempt at a solution

I haven't gotten very far, but this is what I have so far:

tan^{-1}[(2sqrt(3) - 3i)/7]

= (1/2i)ln[(i2sqrt(3) + 10)/(i2sqrt(3) + 4)]

Where do you go from there? I'm not completely familiar with the rules of complex logarithms. Can you split it into real and imaginary parts?

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# Homework Help: Complex Logarithms

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