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

The general solution for cos(3θ)= 1/2 is θ= pi/9+(2pin)/3 ,θ=(5pi)/9+(2pin)/3

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cos(3θ)= 1/2

cos (3 θ) = \frac{1}{2}

θ = \frac{π}{9} + \frac{2 πn}{3}, θ = \frac{5 π}{9} + \frac{2 πn}{3}

Solution steps

cos (3 θ) = \frac{1}{2}

General solutions for

cos (3 θ) = \frac{1}{2}

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

Solve

3 θ = \frac{π}{3} + 2 πn : θ = \frac{π}{9} + \frac{2 πn}{3}

Solve

3 θ = \frac{5 π}{3} + 2 πn : θ = \frac{5 π}{9} + \frac{2 πn}{3}

θ = \frac{π}{9} + \frac{2 πn}{3}, θ = \frac{5 π}{9} + \frac{2 πn}{3}

sin (3 x + 5) = cos (4 x + 1)

6 sin^{2} (θ) - 3 = 0

4 cos (x) - 4 sin (x) = 26

sin (x) = \frac{8}{9}

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

What is the general solution for cos(3θ)= 1/2 ?
The general solution for cos(3θ)= 1/2 is θ= pi/9+(2pin)/3 ,θ=(5pi)/9+(2pin)/3