Prove that there exists a number z on the unit circle such that

I used geometry and I'm left to prove that

I'm stuck here. Is there any other approach to this problem? Please help! :)

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- Feb 27th 2010, 08:12 PMsashikanthComplex Numbers, Unit Circle

Prove that there exists a number z on the unit circle such that

I used geometry and I'm left to prove that

I'm stuck here. Is there any other approach to this problem? Please help! :)