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Let z be a non-real complex number lyi...

Let z be a non-real complex number
lying on `|z|=1,` prove that `z=(1+itan((arg(z))/2))/(1-itan((arg(z))/(2)))` (where `i=sqrt(-1).)`

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The correct Answer is:
(ii) `|z_1| =2|sin theta//2|, "arg" (z_1) = (pi+3 theta)/(2` or `|z_1|=0`, "arg" (z_1)` is not defined
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