4+x)-√2=0...

maziniury2014 @maziniury2014

August 2022 1 5 Report

Решить уравнение 2 cos⁡(π/4+x)-√2=0.

Answers & Comments

Artem112

Verified answer

$2\cos\left(\dfrac{\pi}{4} +x\right)-\sqrt{2} =0$

$2\cos\left(\dfrac{\pi}{4} +x\right)=\sqrt{2}$

$\cos\left(\dfrac{\pi}{4} +x\right)=\dfrac{\sqrt{2} }{2}$

$\dfrac{\pi}{4} +x=\pm\arccos\dfrac{\sqrt{2} }{2} +2\pi n$

$\dfrac{\pi}{4} +x=\pm\dfrac{\pi }{4} +2\pi n$

$x=-\dfrac{\pi}{4}\pm\dfrac{\pi }{4} +2\pi n$

$x_1=-\dfrac{\pi}{4}-\dfrac{\pi }{4} +2\pi n=-\dfrac{\pi }{2} +2\pi n,\ n\in\mathbb{Z}$

$x_2=-\dfrac{\pi}{4}+\dfrac{\pi }{4} +2\pi n=2\pi n,\ n\in\mathbb{Z}$

Ответ: $-\dfrac{\pi }{2} +2\pi n;\ 2\pi n,\ n\in\mathbb{Z}$

0 votes Thanks 0

More Questions From This User See All

maziniury2014 August 2022 | 0 Ответы

ukazhite pravilnoe obyasnenie zapyatoj ili eyo otsutstvie v predlozhenii pushkin po

maziniury2014 August 2022 | 0 Ответы

2 i 0aac7100e8269aedaca3d8f5f0ea4e6b6 53515

maziniury2014 August 2022 | 0 Ответы

najti koren uravneniya 4x3212

maziniury2014 August 2022 | 0 Ответы

najti koren uravneniya 1 2x7

maziniury2014 August 2022 | 0 Ответы

reshit uravnenie 22 x64

maziniury2014 August 2022 | 0 Ответы

13 i 0c5deb3fc75c99795c3052a5709941784 64723

maziniury2014 July 2022 | 0 Ответы

u neskolkih trehznachnyh chisel v zapisi prisutstvuyut strogo dve razlichnye cifryf4badfcfef3f9cd7d571f531be904c9b 11809

maziniury2014 October 2021 | 0 Ответы

ukazhite centry goroda otraslej dalnego vostoka dobycha i obogashenie rud cvetnyh

maziniury2014 July 2021 | 0 Ответы

napisat rasskaz pro produkty kakie horoshie a kakie plohie tak chtoby ponyal dazhe

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

pozhalujsta8b98a56c0152a07b8f4cbcd89aa2f01e 97513

sarvinozwakirjanova August 2022 | 0 Ответы

pomogite pozhalusto pzha519d7eb8246a08ab0df06cc59e9dedb 6631

Helpful Links

Политика конфиденциальности

Правила и условия

Контакты

Helpful Social

Copyright © 2024 SCHOLAR.TIPS - All rights reserved.