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

The general solution for 2cos(3x)=sqrt(3) is x= pi/(18)+(2pin)/3 ,x=(11pi}{18}+\frac{2pin)/3

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2cos(3x)=sqrt(3)

2 cos (3 x) = 3

x = \frac{π}{18} + \frac{2 πn}{3}, x = \frac{11 π}{18} + \frac{2 πn}{3}

Solution steps

2 cos (3 x) = 3

Divide both sides by

2

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

General solutions for

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

3 x = \frac{π}{6} + 2 πn, 3 x = \frac{11 π}{6} + 2 πn

Solve

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

Solve

3 x = \frac{11 π}{6} + 2 πn : x = \frac{11 π}{18} + \frac{2 πn}{3}

x = \frac{π}{18} + \frac{2 πn}{3}, x = \frac{11 π}{18} + \frac{2 πn}{3}

2 \cdot sin^{2} (x) + cos (x) = 0

cot (x) = - 7.77

tan (θ) = \frac{5}{10}

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

- 3 sin (\frac{x}{2}) = 1, - \frac{π}{2} \leq x \leq \frac{π}{2}

What is the general solution for 2cos(3x)=sqrt(3) ?
The general solution for 2cos(3x)=sqrt(3) is x= pi/(18)+(2pin)/3 ,x=(11pi}{18}+\frac{2pin)/3