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

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

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cos(4x)= 1/2

cos (4 x) = \frac{1}{2}

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

Solution steps

cos (4 x) = \frac{1}{2}

General solutions for

cos (4 x) = \frac{1}{2}

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

Solve

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

Solve

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

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

2 cos^{2} (x) - 5 cos (x) + 2 = 0

sec (x) = - 2

2 sin^{2} (θ) - cos (θ) = 1

3 sin^{2} (x) - 7 sin (x) + 2 = 0

tan (θ) = \frac{4}{3}

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