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

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

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0=cos(3θ)

0 = cos (3 θ)

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

Solution steps

0 = cos (3 θ)

Switch sides

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}

6 sin (θ) + 6 = 0

cosh (z) = - 2

tan (\frac{θ}{2} + \frac{π}{3}) = - 1, 0 \leq θ < 2 π

- 9 cos^{2} (θ) + 13 = 20 sin (θ)

0 = sin (3 θ)

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