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

The general solution for 2/(sqrt(3))cos(3θ)=1 is θ= pi/(18)+(2pin)/3 ,θ=(11pi}{18}+\frac{2pin)/3

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2/(sqrt(3))cos(3θ)=1

\frac{2}{3} cos (3 θ) = 1

θ = \frac{π}{18} + \frac{2 πn}{3}, θ = \frac{11 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{π}{6} + 2 πn, 3 θ = \frac{11 π}{6} + 2 πn

Solve

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

Solve

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

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

cos^{2} (x) - sin^{2} (2 x) = 0

tan (x) = - 0.5

sin (x) - cos (x) - 1 = 0

7 sec^{2} (x) - 7 sec (x) = 14

0 = 1 + 2 sin (2 x)

What is the general solution for 2/(sqrt(3))cos(3θ)=1 ?
The general solution for 2/(sqrt(3))cos(3θ)=1 is θ= pi/(18)+(2pin)/3 ,θ=(11pi}{18}+\frac{2pin)/3