What is the general solution for cos(4θ)= 1/2 ?

The general solution for cos(4θ)= 1/2 is θ= pi/(12)+(pin)/2 ,θ=(5pi}{12}+\frac{pin)/2

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cos(4θ)= 1/2

cos (4 θ) = \frac{1}{2}

θ = \frac{π}{12} + \frac{πn}{2}, θ = \frac{5 π}{12} + \frac{πn}{2}

Solution steps

cos (4 θ) = \frac{1}{2}

General solutions for

cos (4 θ) = \frac{1}{2}

4 θ = \frac{π}{3} + 2 πn, 4 θ = \frac{5 π}{3} + 2 πn

Solve

4 θ = \frac{π}{3} + 2 πn : θ = \frac{π}{12} + \frac{πn}{2}

Solve

4 θ = \frac{5 π}{3} + 2 πn : θ = \frac{5 π}{12} + \frac{πn}{2}

θ = \frac{π}{12} + \frac{πn}{2}, θ = \frac{5 π}{12} + \frac{πn}{2}

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

2 cos^{2} (θ) + 2 cos (θ) - 1 = 0

- 2 sin (- 3 x) - 1 = 0

tan (x) + sin (x) tan (x) = 0, - π \leq x < π

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

What is the general solution for cos(4θ)= 1/2 ?
The general solution for cos(4θ)= 1/2 is θ= pi/(12)+(pin)/2 ,θ=(5pi}{12}+\frac{pin)/2