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

asked Oct 28, 2023 134k views

3 votes

Write the standard form of the complex number

sqrt 108[cos(−30°) + i sin(−30°)]

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3 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.