What is the general solution for (sqrt(2))/2 =sin(x) ?

The general solution for (sqrt(2))/2 =sin(x) is x= pi/4+2pin,x=(3pi)/4+2pin

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(sqrt(2))/2 =sin(x)

\frac{2}{2} = sin (x)

x = \frac{π}{4} + 2 πn, x = \frac{3 π}{4} + 2 πn

Solution steps

\frac{2}{2} = sin (x)

Switch sides

sin (x) = \frac{2}{2}

General solutions for

sin (x) = \frac{2}{2}

x = \frac{π}{4} + 2 πn, x = \frac{3 π}{4} + 2 πn

tan (θ) = \frac{12}{6}

tan (θ) = \frac{12}{7}

2 sin (x) + \frac{3}{4} = \frac{3}{2}, (0, 2 π)

2 cos (2 x) + sin (x) - 4 = 0

\frac{1}{cos ( x )} - 2 = 0

What is the general solution for (sqrt(2))/2 =sin(x) ?
The general solution for (sqrt(2))/2 =sin(x) is x= pi/4+2pin,x=(3pi)/4+2pin