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

Sagot :

Answer:

Choice B.

Explanation:

The equation can be rewritten as

[tex]6\text{cis}\frac{5\pi}{6}=6\cos \frac{5\pi}{6}+i\sin \frac{5\pi}{6}[/tex]

Now since

[tex]6\cos \frac{5\pi}{6}=-3\sqrt[]{3}[/tex]

and

[tex]6\sin \frac{5\pi}{6}=3[/tex]

the expression becomes

[tex]-3\sqrt[]{3}+3i[/tex]

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

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