What is the general solution for cos(5x)= 1/2 ?

The general solution for cos(5x)= 1/2 is x= pi/(15)+(2pin)/5 ,x= pi/3+(2pin)/5

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cos(5x)= 1/2

cos (5 x) = \frac{1}{2}

x = \frac{π}{15} + \frac{2 πn}{5}, x = \frac{π}{3} + \frac{2 πn}{5}

Solution steps

cos (5 x) = \frac{1}{2}

General solutions for

cos (5 x) = \frac{1}{2}

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

Solve

5 x = \frac{π}{3} + 2 πn : x = \frac{π}{15} + \frac{2 πn}{5}

Solve

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

x = \frac{π}{15} + \frac{2 πn}{5}, x = \frac{π}{3} + \frac{2 πn}{5}

sin (θ) = \frac{3}{5} cos (θ)

cos (\frac{x}{3}) = 0

sin (a) = \frac{5}{6}

2 sin^{2} (x) cos (x) = cos (x)

cos (2 θ) + sin (θ) + 2 = 0

What is the general solution for cos(5x)= 1/2 ?
The general solution for cos(5x)= 1/2 is x= pi/(15)+(2pin)/5 ,x= pi/3+(2pin)/5