Question

Find the principal value of of argument of complex number - 4 - 4i​

Answer 1

$\tan(x) =-4 \div- 4 = 1 \\ x = 45 \: degree$

Answer 2

$z = - 4 - 4i \\ \\ argument \: \\ \tan( \alpha ) = | \frac{ - 4}{ - 4} | \\ \tan( \alpha ) = 1 \\ \alpha = \frac{\pi}{4} or \: 45 \:$

Principle value

$\frac{\pi}{4}$

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