Home
О нас
Products
Services
Регистрация
Войти
Поиск
werwe
@werwe
July 2022
1
8
Report
Возвести в степень по формуле Муавра
(-1+
√3i)^9
Извлечь корень
√(2+2
√3i)
Please enter comments
Please enter your name.
Please enter the correct email address.
Agree to
terms of service
You must agree before submitting.
Send
Answers & Comments
Удачник66
Verified answer
Нужно представить число в тригонометрической форме.
(-1+
√3*i
)^9 = (2*(-1/2 +
√3/2*i
))^9 = (2*(cos 2pi/3 + i*sin 2pi/3))^9 =
= 2^9*(cos (2*9pi/3) + i*sin (2*9pi/3)) = 512*(cos 6pi + i*sin 6pi) = 512(1 + 0) = 512
√(2 + 2
√3*i
) =
√(4*(1/2 +
√3/2*i
)) =
√(4*(cos pi/3 + i*sin pi/3))
Получаем 2 значения
1) 2*(cos pi/6 + i*sin pi/6) =
√3 + i
2) 2*(cos (pi+pi/6) + i*sin (pi+pi/6)) = 2*(cos 7pi/6 + i*sin 7pi/6) = -
√3 - i
1 votes
Thanks 2
More Questions From This User
See All
werwe
July 2022 | 0 Ответы
tovarishi obratite vnimanie dannoe uravnenie kompleksnoe uravnenie eto ne pro
Answer
werwe
October 2021 | 0 Ответы
v pravilnoj chetyrehugolnoj piramide bokovye grani nakloneny k osnovaniyu pod ug
Answer
werwe
October 2021 | 0 Ответы
pryamougolnaya trapeciya s uglom v 45gradusov vrashaetsya vokrug pryamoj soderzhashej
Answer
werwe
October 2021 | 0 Ответы
dana trapeciya abcd v kotorojugol a90 gradusov ugol d45 gradusov bc4sm c
Answer
werwe
October 2021 | 0 Ответы
vysota usechennogo konusa ravna 5 sm a diagonal osevogo secheniya 13 sm radiusy
Answer
werwe
October 2021 | 0 Ответы
nuzhno ogorodit uchastok pryamougolnoj formy dlinoj 200 m kakovy dolzhny byt raz
Answer
werwe
August 2021 | 0 Ответы
x089bdfd3f80caf16bc5a5969c7a94b69 58943
Answer
рекомендуемые вопросы
rarrrrrrrr
August 2022 | 0 Ответы
o chem dolzhny pozabotitsya v pervuyu ochered vzroslye pri organizacionnom vyvoze n
danilarsentev
August 2022 | 0 Ответы
est dva stanka na kotoryh vypuskayut odinakovye zapchasti odin proizvodit a zapcha
myachina8
August 2022 | 0 Ответы
najti po grafiku otnoshenie v3v1 v otvetah napisano 9 no nuzhno reshenie
ydpmn7cn6w
August 2022 | 0 Ответы
Choose the correct preposition: 1.I am fond (out,of,from) literature. 2.where ar...
millermilena658
August 2022 | 0 Ответы
opredelite kak sozdavalas i kto sozdaval arabskoe gosudarstvo v kracii
MrZooM222
August 2022 | 0 Ответы
ch ajtmanov v rasskaze krasnoe yabloko ispolzuet metod rasskaz v rasskaze opi
timobila47
August 2022 | 0 Ответы
kakovo bylo naznachenie kazhdoj iz chastej vizantijskogo hrama pomogite pozhalujsta
ivanyyaremkiv
August 2022 | 0 Ответы
moment. 6....
pozhalujsta8b98a56c0152a07b8f4cbcd89aa2f01e 97513
sarvinozwakirjanova
August 2022 | 0 Ответы
pomogite pozhalusto pzha519d7eb8246a08ab0df06cc59e9dedb 6631
×
Report "Возвести в степень по формуле Муавра (-1+√3i)^9Извлечь корень√(2+2√3i)..."
Your name
Email
Reason
-Select Reason-
Pornographic
Defamatory
Illegal/Unlawful
Spam
Other Terms Of Service Violation
File a copyright complaint
Description
Helpful Links
О нас
Политика конфиденциальности
Правила и условия
Copyright
Контакты
Helpful Social
Get monthly updates
Submit
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
Verified answer
Нужно представить число в тригонометрической форме.(-1+√3*i)^9 = (2*(-1/2 + √3/2*i))^9 = (2*(cos 2pi/3 + i*sin 2pi/3))^9 =
= 2^9*(cos (2*9pi/3) + i*sin (2*9pi/3)) = 512*(cos 6pi + i*sin 6pi) = 512(1 + 0) = 512
√(2 + 2√3*i) = √(4*(1/2 + √3/2*i)) = √(4*(cos pi/3 + i*sin pi/3))
Получаем 2 значения
1) 2*(cos pi/6 + i*sin pi/6) = √3 + i
2) 2*(cos (pi+pi/6) + i*sin (pi+pi/6)) = 2*(cos 7pi/6 + i*sin 7pi/6) = -√3 - i