📘 complex numbers

1. **State the problem:** Express the complex number $1 + i$ in polar form. 2. **Recall the polar form:** A complex number $z = x + yi$ can be represented in polar form as $$z = r(

1. Stating the problem: Simplify the complex numbers $Z_1 = \frac{-1}{i}$ and $Z_2 = \frac{1}{2} + i\frac{\sqrt{3}}{2} \div -\sqrt{3} - i$.\n\n2. Simplify $Z_1$: Recall that $\frac

1. **State the problem:** We want to express the roots of $\left(4-3i\right)^{-\frac{2}{3}}$ in polar form. 2. **Convert the base to polar form:** The complex number $4-3i$ has mod

1. **Énoncé du problème** : Nous devons déterminer l'ensemble des points $M$ d'affixe $z$ tels que :