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

Write the standard form of the complex number sqrt 108[cos(−30°) + i sin(−30°)]
asked 134k views
3 votes
Write the standard form of the complex number

sqrt 108[cos(−30°) + i sin(−30°)]

asked
User Grumpy
by
8.4k points

1 Answer

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.

answered
User Nelson Almendra
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