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

Maksonnie asked May 9, 2023

152,032 views

5 votes

Write the standard form of the complex number

sqrt 108[cos(−30°) + i sin(−30°)]

Maksonnie asked May 9, 2023

2.8k points

Your comment on this question:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

Privacy: Your email address will only be used for sending these notifications.

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

2.4k points

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

1.6m questions

2.0m answers