Question

Determine o argumento complexo z = - 3 - 4i

Answer 1

$\mathsf{\rho=\sqrt{(-3)^2+(-4)^2}}\\\mathsf{\rho=\sqrt{9+16}}\\\mathsf{\rho=\sqrt{25}=5}$

$\mathsf{sen(\theta)=\dfrac{-4}{5}}\\\mathsf{cos(\theta)=-\dfrac{3}{5}}\\\mathsf{tg(\theta) =\dfrac{4}{3}}\\\mathsf{\theta=arctg(\dfrac{4}{3})=233^{\circ}}$