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

The general solution for -2/(sqrt(3))cos(3θ)=1 is θ=(5pi}{18}+(2pin)/3 ,θ=(7pi)/(18)+\frac{2pin)/3

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-2/(sqrt(3))cos(3θ)=1

- \frac{2}{3} cos (3 θ) = 1

θ = \frac{5 π}{18} + \frac{2 πn}{3}, θ = \frac{7 π}{18} + \frac{2 πn}{3}

Solution steps

- \frac{2}{3} cos (3 θ) = 1

Simplify

- \frac{2}{3} : - \frac{2 3}{3}

(- \frac{2 3}{3}) cos (3 θ) = 1

Multiply both sides by

3

- 23 cos (3 θ) = 3

Divide both sides by

- 23

cos (3 θ) = - \frac{3}{2}

General solutions for

cos (3 θ) = - \frac{3}{2}

3 θ = \frac{5 π}{6} + 2 πn, 3 θ = \frac{7 π}{6} + 2 πn

Solve

3 θ = \frac{5 π}{6} + 2 πn : θ = \frac{5 π}{18} + \frac{2 πn}{3}

Solve

3 θ = \frac{7 π}{6} + 2 πn : θ = \frac{7 π}{18} + \frac{2 πn}{3}

θ = \frac{5 π}{18} + \frac{2 πn}{3}, θ = \frac{7 π}{18} + \frac{2 πn}{3}

x, y = sin (x y)

tan (t) = \frac{1}{3}

4 sin^{2} (x) + 3 sin (x) - 1 = 0

cos (x) = \frac{π}{2}

2 cos (θ) + 2 = 0

What is the general solution for -2/(sqrt(3))cos(3θ)=1 ?
The general solution for -2/(sqrt(3))cos(3θ)=1 is θ=(5pi}{18}+(2pin)/3 ,θ=(7pi)/(18)+\frac{2pin)/3