Question

6) O argumento do complexo z = -3- 4.i pertence ao:
a) 1° Quadrante
c) 3º Quadrante
b) 2º Quadrante
d) 4° Quadrante​

Answer 1

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$\boxed{\sf{\underline{m\acute{o}dulo~de~um~n\acute{u}mero~complexo}}}\\\huge\boxed{\boxed{\boxed{\boxed{\sf{\rho=\sqrt{a^2+b^2}}}}}}$

$\boxed{\sf{\underline{argumento~de~um~n\acute{u}mero~complexo}}}\\\rm{\acute{e}~o~\hat{a}ngulo~\theta~tal~que}\\\sf{cos(\theta)=\dfrac{a}{\rho}~~~sen(\theta)=\dfrac{b}{\rho}}$

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$\sf{z=-3-4i}\\\sf{\rho=\sqrt{(-3)^2+(-4)^2}}\\\sf{\rho=\sqrt{9+16}}\\\sf{\rho=\sqrt{25}}\\\sf{\rho=5}\\\sf{cos(\theta)=\dfrac{-3}{5}}\\\sf{sen(\theta)=\dfrac{-4}{5}}\\\huge\boxed{\boxed{\boxed{\boxed{\sf{\theta\in3^{\underline{o}}quadrante}}}}}$