cos^2 4x+sin^2 2x-1=0. Created by supermee. algebra-ru

cos^2 4x+sin^2 2x-1=0...

supermee @supermee

August 2022 1 19 Report

cos^2 4x+sin^2 2x-1=0

Answers & Comments

kirichekov

Verified answer

Cos²4x+sin²2x-1=0
(cos(2*2x))²+sin²2x-1=0
(1-2sin²2x)²+sin²2x-1=0
1-4sin²2x+4sin⁴2x+sin²2x-1=0
4sin⁴2x-3sin²2x=0
sin²2x*(4sin²2x-3)=0

sin²2x=0 или 4sin²2x-3=0
1. sin²2x=0, sin2x=0. 2x=πn, n∈Z. x=πn/2, n∈Z
2. 4sin²2x-3=0, sin²2x=3/4. sin2x=+-√(3/4). sin2x=+-√3/2
a. sin2x=-√3/2
$2x=(-1) ^{n}*arcsin(- \frac{ \sqrt{3} }{2} )+ \pi n,$ n∈Z
$2x= (-1)^{n+1}* \frac{ \pi }{3} + \pi n,$ n∈Z
$x= (-1)^{n+1}* \frac{ \pi }{6} + \frac{ \pi n}{2} ,$ n∈Z
b. sin2x=√3/2
$x= (-1)^{n}* \frac{ \pi }{6} + \frac{ \pi n}{2},$ n∈z

ответ:
$x_{1} = \frac{ \pi n}{2} ,

 x_{2} = (-1)^{n+1}* \frac{ \pi }{6} + \frac{ \pi n}{2} ,

 x_{3} = (-1)^{n}* \frac{ \pi }{6} + \frac{ \pi n}{2}$ n∈Z

1 votes Thanks 3

Answers & Comments

Verified answer

perevedite 640000 bit v kbajty

4)=0...

3)=0...

vyberite vnutrennee predstavlenie samogo malenkogo otricatelnogo chisla kotoro

ballon soderzhit idealnyj gaz pri temperature t1 i davlenii r1 iz ballona vypus

log025x 2gtlog 45 4x reshite neravenstvo

byliny1iz za chego ilya possorilsya s knyazem vladimirom2 kakaya istoriko geog

vyvesti na ekran soobshenie vvedite vashe imya i klass cherez probel posle vvoda

dan celochislennyj massiv iz 30 elementov elementy massiva mogut prinimat celyed6a74dd51b5ea6b90fc208a6edfd9e74 26632

dan veshestvennyj massiv iz 40 elementov elementy massiva mogut prini

рекомендуемые вопросы

Helpful Links

Helpful Social