Thread: complex conjugate

can i ask if Z= r ( cos X + i sin X), then Z* = r ( cos X - i sin X) or Z* = (1/r) ( cos X - i sin X)

thanks!

Originally Posted by alexandrabel90

can i ask if Z= r ( cos X + i sin X), then Z* = r ( cos X - i sin X) or Z* = (1/r) ( cos X - i sin X)

thanks!

I'm assuming you're asking what the complex conjugate of is? If, so then just remember if , where , then the complex conjugate is simply . So if we have , then if we re-arrange to get it to the form , we see we get . Therefore or is the complex conjugate.

So to sum up complex conjugate of Z= r ( cos X + i sin X) is Z* = r ( cos X - i sin X).