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

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

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1/2 =cos(3x)

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

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

Solution steps

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

Switch sides

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}

3 cos (θ) = 2 + 2 sin (θ)

1.65 \cdot sin (3 0^{\circ}) = 1.33 \cdot sin (x)

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

cos (2 x) - sin (x) = 0.5

cos (θ) - 2 sin^{2} (θ) = - 1

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