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Catolal228
@Catolal228
August 2022
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2sin(П/4-2х)=корень из 2
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Verified answer
2sin(П/4-2х)=√
2
sin((П/4 -2х)=(√2)/2 ⇒ sin(2х-П/4)=-(√2)/2
(2х-П/4 )=[(-1)^(n+1)](П/4)+П·n, n∈Z
2x=((-1)^(n+1)+1)(П/4)+П·n,
x=((-1)^(n+1)+1)(П/8)+П·n/2
или
sin(2х-П/4)=-(√2)/2 ⇔
1) (2х-П/4)=-П/4+2П·n ⇒ x=(-П/4+2П·n+П/4)/2 x=П·n
2)(2х-П/4)=П+П/4+2П·n ⇒ x=(П+П/4+2П·n +П/4)/2 x=(3/4)П+П·n
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Verified answer
2sin(П/4-2х)=√2sin((П/4 -2х)=(√2)/2 ⇒ sin(2х-П/4)=-(√2)/2
(2х-П/4 )=[(-1)^(n+1)](П/4)+П·n, n∈Z
2x=((-1)^(n+1)+1)(П/4)+П·n,
x=((-1)^(n+1)+1)(П/8)+П·n/2
или
sin(2х-П/4)=-(√2)/2 ⇔
1) (2х-П/4)=-П/4+2П·n ⇒ x=(-П/4+2П·n+П/4)/2 x=П·n
2)(2х-П/4)=П+П/4+2П·n ⇒ x=(П+П/4+2П·n +П/4)/2 x=(3/4)П+П·n