What is the general solution for cos(3x)=(sqrt(2))/2 ?

The general solution for cos(3x)=(sqrt(2))/2 is x= pi/(12)+(2pin)/3 ,x=(7pi}{12}+\frac{2pin)/3

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cos(3x)=(sqrt(2))/2

cos (3 x) = \frac{2}{2}

x = \frac{π}{12} + \frac{2 πn}{3}, x = \frac{7 π}{12} + \frac{2 πn}{3}

Solution steps

cos (3 x) = \frac{2}{2}

General solutions for

cos (3 x) = \frac{2}{2}

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

Solve

3 x = \frac{π}{4} + 2 πn : x = \frac{π}{12} + \frac{2 πn}{3}

Solve

3 x = \frac{7 π}{4} + 2 πn : x = \frac{7 π}{12} + \frac{2 πn}{3}

x = \frac{π}{12} + \frac{2 πn}{3}, x = \frac{7 π}{12} + \frac{2 πn}{3}

cot^{2} (x) - 1 = 0

sin (3 x) = - 1

2 sin (x) + sin (2 x) = 0

2 sin^{2} (x) + sin (x) = 0

tan^{2} (3 x) = 3

What is the general solution for cos(3x)=(sqrt(2))/2 ?
The general solution for cos(3x)=(sqrt(2))/2 is x= pi/(12)+(2pin)/3 ,x=(7pi}{12}+\frac{2pin)/3