Home
О нас
Products
Services
Регистрация
Войти
Поиск
sssergei
@sssergei
July 2022
1
20
Report
Решите уравнение
1) 1-cosx=2sin x/2
2) 2sin^2 x/2 +1/2sin2x =1
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
kalbim
Verified answer
1) 1-cosx = 2sin(x/2)
1-cosx = 1-cos(2*x/2) = 1 - (1-2sin^2(x/2)) = 2sin^2(x/2)
2sin^2(x/2) = 2sin(x/2)
2sin^2(x/2) - 2sin(x/2) = 0
sin(x/2) * (sin(x/2) - 1) = 0
a) sin(x/2) = 0, x/2 = pi*k, x=2pi*k
b) sin(x/2) = 1, x/2 = pi + 2pi*k
Объединив решения, получается: x=pi*k
2) 2sin^2(x/2) = 1 - cosx
1-cosx + cosx*sinx = 1
cosx(sinx-1)=0
a) cosx=0, x=pi/2 + pi*k
b) sinx=1, x=pi/2+pi*k
Общее решение: x=pi/2 + pi*k
1 votes
Thanks 3
More Questions From This User
See All
sssergei
August 2022 | 0 Ответы
x bucos3x63 v yx3 4x216
Answer
sssergei
August 2022 | 0 Ответы
41reshite neravenstvolog052x 4log05x1reshite uravnenielog22x 4log2x
Answer
sssergei
July 2022 | 0 Ответы
m^3...
Answer
sssergei
July 2022 | 0 Ответы
pomogite reshit zadachu po algebre4c4f52fc99e94ea03d5c2fbe5c5d3798 51518
Answer
sssergei
July 2022 | 0 Ответы
pomogite s zadachkami op matematike
Answer
sssergei
July 2022 | 0 Ответы
x3504a1253a7292721bb9737eb26bcece 22324
Answer
sssergei
July 2022 | 0 Ответы
v treugolnike abc ugol c raven 90 gradusov cosa031 najdite sinb
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 "2sin2x =1..."
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 © 2025 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
Verified answer
1) 1-cosx = 2sin(x/2)1-cosx = 1-cos(2*x/2) = 1 - (1-2sin^2(x/2)) = 2sin^2(x/2)
2sin^2(x/2) = 2sin(x/2)
2sin^2(x/2) - 2sin(x/2) = 0
sin(x/2) * (sin(x/2) - 1) = 0
a) sin(x/2) = 0, x/2 = pi*k, x=2pi*k
b) sin(x/2) = 1, x/2 = pi + 2pi*k
Объединив решения, получается: x=pi*k
2) 2sin^2(x/2) = 1 - cosx
1-cosx + cosx*sinx = 1
cosx(sinx-1)=0
a) cosx=0, x=pi/2 + pi*k
b) sinx=1, x=pi/2+pi*k
Общее решение: x=pi/2 + pi*k