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3 problems match “modulus and argument”. Clear

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1. Polar form of a negative real number ●○○○○ 10 ptsWrite the complex number $-4$ in the form $r(\cos\theta + i\sin\theta)$ with $r > 0$ and $0^\circ \le \theta < 360^\circ$. Find $r$ and $\theta$, giving $\theta$ in degrees.
2. Polar form of a complex number ●○○○○ 10 ptsWrite $2-2i$ in polar form $r(\cos\theta+i\sin\theta)$ with $r>0$ and $-180^\circ<\theta\le 180^\circ$. Find $r$, rounded to two decimal places, and $\theta$ in degrees.
3. Count complex solutions of an exponential equation ●●●●○ 100 ptsHow many complex numbers $z$ such that $\left| z \right| < 30$ satisfy the equation $e^z = \frac{z - 1}{z + 1}$?