2sin(x)-sqrt(2)=0
add sqrt(2) to both sides
intervals for x ?
у меня получилось пи/4 + 2пи n, n принадлежит z
I guess it's n*pi/4+2*n*pi?
точно нет
wow I wish I spoke Russian
Me too xD
this is what google translate says for the 2 before I got pi / 4 + 2PI n, n z belongs
The equation is sin(x)=sqrt(2)/2 which is correct when x=45º=pi/4 if the interval is 0<=x<=2pi x=pi/4 and x=pi/4+pi/2
@knock Уравнение есть грех (х) = SQRT (2) / 2, которое считается правильным, если X = 45 º = пи / 4 Если интервал 0 <= X <= 2 пи х = пи / 4 и х = пи / 4 + пи / 2
2sin(x)-\[2\sin(x)-\sqrt{2}=0\] \[2\sin(x)=\sqrt{2}\] \[\sin(x)=\frac{ \sqrt{2} }{ 2 }\] \[\sin(x)=\frac{ 1 }{ \sqrt{2} }\] \[x=\sin^{-1} \frac{ 1 }{ \sqrt{2} }\] \[x=\frac{ \pi }{ 4 }\] or \[x=\frac{ 3\pi }{ 4 }\]
Для этого, sin(x)=\(\frac{\sqrt{2}}{2}\), затем использовать |dw:1368442629387:dw|
if no interval is given ,then we can get infinite solutions by adding 2npi to x=pi/4,3pi/4 where n is an integer.
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