Question Type 2: Converting from Euler to polar and from polar to Cartesian Bootcamps

Convert $z = 5\ \text{cis}( \pi)$ to Cartesian form $x + iy$.

Express $z = 9e^{i5\pi/4}$ in polar form $r\ \text{cis}(\theta)$.

Express $z = 2\sqrt{2}\,e^{i3\pi/4}$ in polar form $r\ \text{cis} (\theta)$.

Express $z = 10e^{i3\pi/2}$ in polar form $r\ \text{cis}\theta$.

Express $z = 7e^{-i2\pi/3}$ in polar form $r\ \text{cis}(\theta)$.

Convert $z = 4\ \text{cis}( \frac{\pi}{4})$ to Cartesian form $x + iy$.

Convert $z = 6\ \text{cis} (-\frac{\pi}{6})$ to Cartesian form $x + iy$.

Convert $z = 7\ \text{cis} (-\frac{2\pi}{3})$ to Cartesian form $x + iy$.

Convert $z = 10\ \text{cis} \frac{3\pi}{2}$ to Cartesian form $x + iy$.

Convert $z = 8\ \text{cis} \frac{5\pi}{4}$ to Cartesian form $x + iy$.

Convert $z = 2\sqrt{2}\ \text{cis}( \frac{3\pi}{4})$ to Cartesian form $x + iy$.