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

User Jkteater
by
3.1k points

1 Answer

13 votes
13 votes

Answer:

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.

User Glenn McAllister
by
2.8k points
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