# Complex numbers - express in real and imaginary parts

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• Dec 30th 2012, 07:54 AM
aka74
Complex numbers - express in real and imaginary parts
Hello everyone
I've got a problem with these two questions:

Express the following complex numbers in real and imaginary parts :

z=6ln(1+j)

z=1/cos^2(1/2 j ln (j))

I'm completely stuck, any hints will be much appreciated.
• Dec 30th 2012, 02:23 PM
BobP
Re: Complex numbers - express in real and imaginary parts
Suppose that

$a+jb \equiv re^{j(\theta+2k\pi)},$

then

$\ln(a+jb) = \ln (r) + j(\theta + 2k\pi).$
• Dec 31st 2012, 05:19 AM
aka74
Re: Complex numbers - express in real and imaginary parts
Thanks a lot, I've got it sorted now.