What is the general solution for -0.5=cos(3x) ?

The general solution for -0.5=cos(3x) is x=(2pi)/9+(2pin)/3 ,x=(4pi)/9+(2pin)/3

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-0.5=cos(3x)

- 0.5 = cos (3 x)

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

Solution steps

- 0.5 = cos (3 x)

Switch sides

cos (3 x) = - 0.5

General solutions for

cos (3 x) = - 0.5

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}

sin (3 x) = - 0.5

5 cos (x) + 23 = 0

tan (x) = \frac{5}{8}

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

cos (x) = \frac{7}{8}

What is the general solution for -0.5=cos(3x) ?
The general solution for -0.5=cos(3x) is x=(2pi)/9+(2pin)/3 ,x=(4pi)/9+(2pin)/3