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.
Answers: 2
. If w=-z, then r=0 and r is real. Suppose that w≠-z, that is, r≠0.
where 
is the conjugate of x.
. From this, 
. A complex number is real if and only if it is equal to its conjugate, therefore r is real.
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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...
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