Perform the Indicated Operation $2\left(\cos 30^{\circ}+i \sin 30^{\circ}\right) \cdot 3\left(\cos 180^{\circ}+i \sin 180^{\circ}\right)$

Essay

Perform the indicated operation. Give the answer in rectangular form.
(a) $2\left(\cos 30^{\circ}+i \sin 30^{\circ}\right) \cdot 3\left(\cos 180^{\circ}+i \sin 180^{\circ}\right)$
(b) $\frac{3 \operatorname{cis} 90^{\circ}}{4 \operatorname{cis} 30^{\circ}}$
(c) $(-3+2 i)^{3}$
(d) Find the fourth roots of $\frac{3 \sqrt{2}}{2}-\frac{3 \sqrt{2}}{2} i$ . Leave your answers in trigonometric form.