Home
О нас
Products
Services
Регистрация
Войти
Поиск
feho
@feho
July 2022
1
6
Report
Если sin x- cos x = 1/2, то sin^4 x+ cos^4 x =?
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
LFP
Verified answer
Sin⁴x + cos⁴x = (sin²x)² + (cos²x)² =
= (sin²x)² + (cos²x)² +2sin²x*cos²x -2sin²x*cos²x =
= (sin²x + cos²x)² -2sin²x*cos²x = 1² - 2*(sinx*cosx)² = 1-2*9/64 =
= 1 - 9/32 = 23/32
Если sin x-cos x = 1/2, то
(sin x-cos x)²
= 1/4
sin
²x + cos²x - 2sinx*cosx = 1/4
1 - 2sinx*cosx = 1/4 (основное тригонометрическое тождество)
2sinx*cosx = 3/4
sinx*cosx = 3/8
(sinx*cosx)² = 9/64
4 votes
Thanks 3
More Questions From This User
See All
feho
July 2022 | 0 Ответы
v pryamougolnom treugolnike radius vpisannoj okruzhnosti raven 1 a perimetr rav
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 "2, то sin^4 x+ cos^4 x =?..."
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
Sin⁴x + cos⁴x = (sin²x)² + (cos²x)² == (sin²x)² + (cos²x)² +2sin²x*cos²x -2sin²x*cos²x =
= (sin²x + cos²x)² -2sin²x*cos²x = 1² - 2*(sinx*cosx)² = 1-2*9/64 =
= 1 - 9/32 = 23/32
Если sin x-cos x = 1/2, то
(sin x-cos x)² = 1/4
sin²x + cos²x - 2sinx*cosx = 1/4
1 - 2sinx*cosx = 1/4 (основное тригонометрическое тождество)
2sinx*cosx = 3/4
sinx*cosx = 3/8
(sinx*cosx)² = 9/64