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If |z1|=|z2|=1, then prove that |z1+z2|=...

If `|z_1|=|z_2|=1,` then prove that `|z_1+z_2|`= `|1/z_1+1/z_2∣`

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  3. If |z1|=|z2|=1, then prove that |z1+z2|= |1/z1+1/z2∣

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