If |z1| = |z2| = |z3 |=…… = |zn| = 1 then prove that , |1/z1+1/z2+1/z3+……+1/zn| = |z1+z2+z3+……+zn|

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|z1|=|z2|=|z3|=...=|zn|=1, then |z1+z2+z3+..zn|=|1/z1+1/z2+2/z3+...+1/zn| |z1|=|z2|=|z3|=...=|zn|=1, then |z1+z2+z3+..zn|=|1/z1+1/z2+2/z3+...+1/zn|
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