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

The general solution for cos(3x)=-1/2 is x=(2pi)/9+(2pin)/3 ,x=(4pi)/9+(2pin)/3

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cos(3x)=-1/2

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

x = \frac{2 π}{9} + \frac{2 πn}{3}, x = \frac{4 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{2 π}{3} + 2 πn, 3 x = \frac{4 π}{3} + 2 πn

Solve

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

Solve

3 x = \frac{4 π}{3} + 2 πn : x = \frac{4 π}{9} + \frac{2 πn}{3}

x = \frac{2 π}{9} + \frac{2 πn}{3}, x = \frac{4 π}{9} + \frac{2 πn}{3}

csc (x) = 0

2 cos^{2} (x) + 5 sin (x) = 4

cos (x) + 3 = - cos (x)

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

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

What is the general solution for cos(3x)=-1/2 ?
The general solution for cos(3x)=-1/2 is x=(2pi)/9+(2pin)/3 ,x=(4pi)/9+(2pin)/3