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

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

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2cos(x)=sqrt(2)

2 cos (x) = 2

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

Solution steps

2 cos (x) = 2

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) - 1 = 0

sin (2 θ) = 1

(tan (θ) + 1) (sec (θ) - 1) = 0

sin (x) = - \frac{3}{5}

2 tan (x) cos (x) - tan (x) = 0

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