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

See proof below Step-by-step explanation:Let . If w=-z, then r=0 and r is real. Suppose that w≠-z, t...

Mathematics, 06.01.2020 23:31 Kay6718

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...