locus-of-complex-equation-z2-1z1-z-for-z1

Complex Analysis: Find the locus of Z from the equation Z^2 = 1+z/1-z for all z with modulus equal to 1. Steps include parametrizing the unit circle and applying DeMoivre's Theorem to get square roots of complex numbers.

Tagged under: Mathematrics,complex,analysis,locus,imaginary,modulus,argument,root,de,moivre,number

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