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POLAR FORM OF A COMPLEX NUMBER

Let OP = r, then x = r cos Θ , and y = r sin Θ => z = x + iy = r cos Θ + ir sin Θ = r ( cos Θ + i sin Θ ). This is known as Polar form (Trigonometric form) of a Complex Number. Here we should take the principal value ofΘ.

For general values of the argument

z = r [cos (2nπ +Θ) + i sin (2nπ +Θ)]       (where n is an integer)

POLAR FORM OF A COMPLEX NUMBER

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