Question

Transforme as coordenadas cartesianas (1,√2) em coordenadas polares: (x=1 e y= √2)


Escolha uma:
a. R= √3 e θ = 0,95 rad
b. R= √2 e θ = 0,75 rad
c. R= √5 e θ = 0,95 rad
d. R= √7 e θ = 0,5 rad
e. R= √7 e θ = 0,6 rad

Answer 1

$\mathsf{r^2=x^2+y^2}\\\mathsf{r^2=1^2+(\sqrt{2})^2}\\\mathsf{r^2=1+2}\\\mathsf{r^2=3}$

$\mathsf{r=\sqrt{3}}$

$\mathsf{\theta=arctg(\dfrac{y}{x})}\\\mathsf{\theta=arctg(\dfrac{\sqrt{2}}{1})}\\\mathsf{\theta=0,95}$

$\huge\boxed{\boxed{\boxed{\boxed{\mathsf{\maltese~~alternativa~~a}}}}}$