**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

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