What is the general solution for cos(3x)= 1/2 ?

The general solution for cos(3x)= 1/2 is x= pi/9+(2pin)/3 ,x=(5pi)/9+(2pin)/3

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cos(3x)= 1/2

cos (3 x) = \frac{1}{2}

x = \frac{π}{9} + \frac{2 πn}{3}, x = \frac{5 π}{9} + \frac{2 πn}{3}

Solution steps

cos (3 x) = \frac{1}{2}

General solutions for

cos (3 x) = \frac{1}{2}

3 x = \frac{π}{3} + 2 πn, 3 x = \frac{5 π}{3} + 2 πn

Solve

3 x = \frac{π}{3} + 2 πn : x = \frac{π}{9} + \frac{2 πn}{3}

Solve

3 x = \frac{5 π}{3} + 2 πn : x = \frac{5 π}{9} + \frac{2 πn}{3}

x = \frac{π}{9} + \frac{2 πn}{3}, x = \frac{5 π}{9} + \frac{2 πn}{3}

tan (3)

2 cos (2 x) + 1 = 0

2 sin^{2} (x) + sin (x) = 1

sec (\frac{π}{3})

arctan (1)

What is the general solution for cos(3x)= 1/2 ?
The general solution for cos(3x)= 1/2 is x= pi/9+(2pin)/3 ,x=(5pi)/9+(2pin)/3