Question

решить уравнение √2*sin x-1=0​

Answer 1

√2sinx=1

sinx=1/√2

sinx=√2/2

x=п/4+2пк

x=3п/4+2пк

Answer 2

$\sqrt{2}Sinx-1=0\\\\\sqrt{2} Sinx=1\\\\Sinx=\frac{1}{\sqrt{2} }\\\\x=(-1)^{n}arcSin\frac{1}{\sqrt{2} }+\pi n,n\in z\\\\x=(-1)^{n}\frac{\pi }{4}+\pi n,n\in z$