What is the general solution for cos((2pix)/3)= 1/2 ?

The general solution for cos((2pix)/3)= 1/2 is x= 1/2+3n,x= 5/2+3n

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cos((2pix)/3)= 1/2

cos (\frac{2 π x}{3}) = \frac{1}{2}

x = \frac{1}{2} + 3 n, x = \frac{5}{2} + 3 n

Solution steps

cos (\frac{2 π x}{3}) = \frac{1}{2}

General solutions for

cos (\frac{2 π x}{3}) = \frac{1}{2}

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

Solve

\frac{2 π x}{3} = \frac{π}{3} + 2 πn : x = \frac{1}{2} + 3 n

Solve

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

x = \frac{1}{2} + 3 n, x = \frac{5}{2} + 3 n

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

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

- 1 + tan (x) = sec (x)

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

cos (x) = cos (1)

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