Question

Convert to rectangular form.

Answer 1

Answer:

B

Step-by-step explanation:

= 6cos ($\frac{5\pi }{6}$) + 6i sin ($\frac{5\pi }{6}$)

the related acute angle of $\frac{5\pi }{6}$ is $\frac{\pi }{6}$

= - 6 cos ($\frac{\pi }{6}$) + 6i sin ($\frac{\pi }{6}$)

= - 6 × $\frac{\sqrt{3} }{2}$ + 6 i × $\frac{1}{2}$

= - 3$\sqrt{3}$ + 3i → B