Home
О нас
Products
Services
Регистрация
Войти
Поиск
Dasdas123123123
@Dasdas123123123
August 2022
1
5
Report
Решите пж
6cos^2x+sin^2x=5sinxcosx
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
Dимасuk
Verified answer
6cos²x + sin²x = 5sinxcosx
sin²x - 5sinxcosx + 6cos²x = 0
Разделим на cos²x:
tg²x - 5tgx + 6 = 0
Пусть t = tgx.
t² - 5t + 6 = 0
По теореме, обратной теореме Виета:
t₁ + t₂ = 5
t₁t₂ = 6
t₁ = 2; t₂ = 3
Обратная замена:
tgx = 2
x = arctg2 + πn, n ∈ Z
tgx = 3
x = arctg3 + πk, k ∈ Z
Ответ: x = arctg2 + πn, n ∈ Z; arctg3 + πk, k ∈ Z.
0 votes
Thanks 1
Dasdas123123123
крутяк спс щя еше много будет
More Questions From This User
See All
Dasdas123123123
August 2022 | 0 Ответы
2)-cosx...
Answer
Dasdas123123123
August 2022 | 0 Ответы
cosxcosy075 sinxsiny025 pomogite nado cherez formulu summy uglov a dalshe ne
Answer
Dasdas123123123
August 2022 | 0 Ответы
reshite sistemu neravenstva pozhalujstax21x23x2 2gt0xlt3
Answer
Dasdas123123123
August 2022 | 0 Ответы
esli 3x2 5xk0 i 6x1 x2 0 najti k
Answer
Dasdas123123123
August 2022 | 0 Ответы
reshite pozhe 2 cos5xcos4x2sin5xsin4xlt3
Answer
Dasdas123123123
August 2022 | 0 Ответы
reshite pzh x2yxy212 xyxy7
Answer
Dasdas123123123
August 2022 | 0 Ответы
reshite pozhalujsta 6cos2x 2sin2x1
Answer
Dasdas123123123
August 2022 | 0 Ответы
reshite pzh 2sin2x 7sinxcosx6cos2x0
Answer
Dasdas123123123
August 2022 | 0 Ответы
2...
Answer
Dasdas123123123
August 2022 | 0 Ответы
3...
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 "Решите пж 6cos^2x+sin^2x=5sinxcosx..."
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
6cos²x + sin²x = 5sinxcosxsin²x - 5sinxcosx + 6cos²x = 0
Разделим на cos²x:
tg²x - 5tgx + 6 = 0
Пусть t = tgx.
t² - 5t + 6 = 0
По теореме, обратной теореме Виета:
t₁ + t₂ = 5
t₁t₂ = 6
t₁ = 2; t₂ = 3
Обратная замена:
tgx = 2
x = arctg2 + πn, n ∈ Z
tgx = 3
x = arctg3 + πk, k ∈ Z
Ответ: x = arctg2 + πn, n ∈ Z; arctg3 + πk, k ∈ Z.