First slide

Algebra of complex numbers

Question

Suppose $\arg$ $(z) = - 5 π / 13$ then, $\arg (\frac{z + z}{1 + z z})$ is

Moderate

A

$- 5 π / 13$
B

$5 π / 13$
C

$π$
D

0

Solution

As $\frac{z + z}{1 + z z}$ is a positive real number
$\arg (\frac{z + z}{1 + z z}) = 0$

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