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

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

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

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

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

Solution steps

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}

sin (x) = cos (x) - 1

2 sin (x) cos (x) = cos (x)

tan^{2} (θ) - 1 = 0

tan (x) - 2 sin (x) tan (x) = 0

cos (x) = \frac{2}{5}

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