Unimodular Complex Number

A complex  number z  such that  |z|  = 1 is  said  to be  unimodular  complex number. Since |z| = 1, z lies  on a  circle of  radius  1 unit and  centre  (0, 0).

If |z| = 1  => z =  cos Θ + i sin Θ,

=> 1/z =  (cos Θ +  i sinΘ)-1 =  cos Θ – i sinΘ

Unimodular Complex Number Examples

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