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

The general solution for cos(4x)=(sqrt(2))/2 is x= pi/(16)+(pin)/2 ,x=(7pi}{16}+\frac{pin)/2

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

cos (4 x) = \frac{2}{2}

x = \frac{π}{16} + \frac{πn}{2}, x = \frac{7 π}{16} + \frac{πn}{2}

Solution steps

cos (4 x) = \frac{2}{2}

General solutions for

cos (4 x) = \frac{2}{2}

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

Solve

4 x = \frac{π}{4} + 2 πn : x = \frac{π}{16} + \frac{πn}{2}

Solve

4 x = \frac{7 π}{4} + 2 πn : x = \frac{7 π}{16} + \frac{πn}{2}

x = \frac{π}{16} + \frac{πn}{2}, x = \frac{7 π}{16} + \frac{πn}{2}

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sin (6 x) = 0

What is the general solution for cos(4x)=(sqrt(2))/2 ?
The general solution for cos(4x)=(sqrt(2))/2 is x= pi/(16)+(pin)/2 ,x=(7pi}{16}+\frac{pin)/2