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

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

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sqrt(2)cos(x)=1

2 cos (x) = 1

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

Solution steps

2 cos (x) = 1

Divide both sides by

2

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

sin (θ) = \frac{- 3}{2}

2 cos (\frac{x}{5}) - 2 = 0

2 sin^{2} (x) + 3 = 7 sin (x)

4 sin (x) = cos (x)

25 sin^{2} (θ) - 1 = 0

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