Question

Escreva a forma algebrica o complexa z=6.(cos5r/4+i.sen5r/4)

Answer 1

Explicação passo-a-passo:

$\sf z=6\cdot\left[cos\left(\dfrac{5\pi}{4}\right)+i\cdot sen\left(\dfrac{5\pi}{4}\right)\right]$

$\sf z=6\cdot\left[\left(-\dfrac{\sqrt{2}}{2}+i\cdot\left(-\dfrac{\sqrt{2}}{2}\right)\right]$

$\sf z=-\dfrac{6\sqrt{2}}{2}-\dfrac{6\sqrt{2}\cdot i}{2}$

$\sf z=-3\sqrt{2}-3\sqrt{2}\cdot i$