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

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

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cos(3x)=-1/2 sqrt(3)

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

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

Solution steps

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

Simplify

- \frac{1}{2} 3 : - \frac{3}{2}

General solutions for

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

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

Solve

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

Solve

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

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

2 sin (2 x) + 3 = 0, 0 \leq x \leq 2 π

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

cos (θ) = - 0.02

cos^{2} (2 x) = 3 cos (2 x)

cos (θ) = - 0.42

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