The principal value of

MATHEMATICS · Single correct · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

The principal value of

\arg(z)

, where

z = \left(1 + \cos \frac{8\pi}{5}\right) + i \sin \frac{8\pi}{5}

(where,

i = \sqrt{-1}

) is given by (1)

-\frac{\pi}{5}

(2)

-\frac{4\pi}{5}

(3)

\frac{\pi}{5}

(4)

\frac{4\pi}{5}

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