Question

coloque os números de forma algébrica z=2(cos30°+isen30°)

Answer 1

Olá


$\displaystyle\mathsf{z~=~2(cos30^o~+~isen30^o)}\\\\\\\mathsf{cos30^o= \frac{\sqrt{3}}{2} \qquad\qquad\qquad sen30^o= \frac{1}{2} }\\\\\\\\\\\mathsf{z=2\left( \frac{\sqrt{3}}{2}~+~ \frac{1}{2}i \right)}\\\\\\\\\mathsf{z=\diagup\!\!\!\!2\cdot \frac{\sqrt{3}}{\diagup\!\!\!\!2} ~+~ \diagup\!\!\!\!2\cdot \frac{1}{\diagup\!\!\!\!2} i}\\\\\\\\\boxed{\mathsf{z=\sqrt{3}+i}}$