Question

Ajudem pfv !! Escreva o número complexo 2(cos11r/6+isen11r/6) escrito na forma a + bi .

Answer 1

$Resolu\c{c}\~ao \to \left\{\begin{array}{ccc}z = 2*(cos\ \frac{11\pi}{6}+i*sen\ \frac{11\pi}{6})\\\\z= 2*(cos\ \frac{11*180}{6}+i*sen\ \frac{11*180}{6})\\\\z= 2*(cos\ 11*30+i*sen\ 11*30)\\\\z = 2*(cos\ 330^o + i*sen\ 330^o)\\\\z = 2*(\frac{\sqrt{3}}{2}+i*-\frac{1}{2})\\\\z = \frac{2*\sqrt{3}}{2}-\frac{2i}{2}\\\\\boxed{\boxed{z = \sqrt{3}-i}}\end{array}\right$

Espero ter ajudado. =^.^=