Write the standard form of the complex number sqrt 108[cos(−30°) + i sin(−30°)]

Maksonnie asked May 9, 2023

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5 votes

Write the standard form of the complex number

sqrt 108[cos(−30°) + i sin(−30°)]

Maksonnie asked May 9, 2023

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25 votes

Answer:

9-3√(3) i.

Explanation:

$1. \ cos(-30)=( √(3))/(2); \ sin(-30)=-0.5;$

2. √(108) (cos(-30)+isin(-30))=(√(108) √(3))/(2)-i*√(108)*0.5=9-3√(3) i.

Zmt answered May 13, 2023

by Zmt

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