What is the general solution for 0=3cos(3θ) ?

The general solution for 0=3cos(3θ) is θ= pi/6+(2pin)/3 ,θ= pi/2+(2pin)/3

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0=3cos(3θ)

0 = 3 cos (3 θ)

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

Solution steps

0 = 3 cos (3 θ)

Switch sides

3 cos (3 θ) = 0

Divide both sides by

3

cos (3 θ) = 0

General solutions for

cos (3 θ) = 0

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

Solve

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

Solve

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

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

sin (\frac{1}{2} x) = cos (x)

tan (2 x - \frac{π}{4}) = - 1

2 sin^{2} (A) = 5 sin (A) - 2

cot (θ) = \frac{12}{5}

θ, cos (θ) = - \frac{1}{2}

What is the general solution for 0=3cos(3θ) ?
The general solution for 0=3cos(3θ) is θ= pi/6+(2pin)/3 ,θ= pi/2+(2pin)/3