Question

Arguments of Z = $\frac{(2+i)}{[4i+(1+i{)}^2]}$ is :

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

$z=\frac{(2+i)}{4i+1-1+2i}=\frac{1}{6}-\frac{1}{3}i\in Q_4\Rightarrow argz=ta{n}^{-1}\left(\frac{-1/3}{1/6}\right)=-ta{n}^{-1}2$