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

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

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cos(2x+pi/4)=(sqrt(2))/2

cos (2 x + \frac{π}{4}) = \frac{2}{2}

x = πn, x = πn + \frac{3 π}{4}

Solution steps

cos (2 x + \frac{π}{4}) = \frac{2}{2}

General solutions for

cos (2 x + \frac{π}{4}) = \frac{2}{2}

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

Solve

2 x + \frac{π}{4} = \frac{π}{4} + 2 πn : x = πn

Solve

2 x + \frac{π}{4} = \frac{7 π}{4} + 2 πn : x = πn + \frac{3 π}{4}

x = πn, x = πn + \frac{3 π}{4}

x, tan (x) = 1

cot (t) = - 3

tan (x) = \frac{3}{8}

1 - sin (x) = 2 cos^{2} (x)

cos (x) = 1 - cos (x)

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