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# Prove that if $w,z$ are complex numbers such that $|w|=|z|=1$ and $wz\ne -1$, then $\frac{w+z}{1+wz}$ is a real number.

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Prove that if $$w,z$$ are complex numbers such that $$|w|=|z|=1$$and $$wz\ne -1$$, then $$\frac{w+z}{1+wz}$$ is a real number.

Jan 5, 2020