What is the general solution for 1/(sqrt(2))=cos(x) ?

The general solution for 1/(sqrt(2))=cos(x) is x= pi/4+2pin,x=(7pi)/4+2pin

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

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

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

Solution steps

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

Switch sides

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

Simplify

\frac{1}{2} : \frac{2}{2}

General solutions for

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

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

2 sin (4 x) = sin (2 x)

csc (x) sec (x) = 22

u, x = sinh (u)

sin (θ) = \frac{tan ( θ )}{sin ( θ )}

5 tan^{2} (t) - tan (t) = 0

What is the general solution for 1/(sqrt(2))=cos(x) ?
The general solution for 1/(sqrt(2))=cos(x) is x= pi/4+2pin,x=(7pi)/4+2pin