Question

In $-3+3i$, find amplitude and modulus

Answer 1

Given, $z=-3+3i$

Comparing with $z=x+iy$

$x=-3$ and $y=3$

$\left|z\right|=\sqrt{x^2+y^2}=\sqrt{3^2+3^2}=3\sqrt{2}$

$Arg\left(z\right)=ta{n}^{-1}\frac{3}{-3}={135}^{\circ }$