Question

Select the correct answer.6cis5pi/6Convert57to rectangular form.OA. 3V3 + 31O B. –313 + 3iO C. 373 – 3iOD. -3V3 – 31O E. 3 – 3731

Answer 1

Choice B.

Step-by-step explanation:

The equation can be rewritten as

`6\text{cis}(5\pi)/(6)=6\cos (5\pi)/(6)+i\sin (5\pi)/(6)`

Now since

`6\cos (5\pi)/(6)=-3\sqrt[]{3}`

and

`6\sin (5\pi)/(6)=3`

the expression becomes

`-3\sqrt[]{3}+3i`

Hence, choice B is the correct answer since it matches the answer we got above.