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

The general solution for (sqrt(2))/2 =cos(x) is x= pi/4+2pin,x=(7pi)/4+2pin

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(sqrt(2))/2 =cos(x)

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

x = \frac{π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

Solution steps

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

Switch sides

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

General solutions for

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

x = \frac{π}{4} + 2 πn, x = \frac{7 π}{4} + 2 πn

10 sin (θ) + 1 = 3 - 2 sin (θ)

sin (x) cos (2 x) - cos (x) sin (2 x) = \frac{3}{2}

5 sin^{2} (x) + 3 sin (x) = 1

8 cos^{2} (x) - 16 cos (x) + 8 = 0

\frac{2}{3} = sin (x)

What is the general solution for (sqrt(2))/2 =cos(x) ?
The general solution for (sqrt(2))/2 =cos(x) is x= pi/4+2pin,x=(7pi)/4+2pin