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

The general solution for cos(x/3)= 1/2 is x=pi+6pin,x=5pi+6pin

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cos(x/3)= 1/2

cos (\frac{x}{3}) = \frac{1}{2}

x = π + 6 πn, x = 5 π + 6 πn

Solution steps

cos (\frac{x}{3}) = \frac{1}{2}

General solutions for

cos (\frac{x}{3}) = \frac{1}{2}

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

Solve

\frac{x}{3} = \frac{π}{3} + 2 πn : x = π + 6 πn

Solve

\frac{x}{3} = \frac{5 π}{3} + 2 πn : x = 5 π + 6 πn

x = π + 6 πn, x = 5 π + 6 πn

3 cos (2 x) - 5 cos (x) = 1

3 tan^{2} (x) - sec (x) - 1 = 0

- 2 sin (x) + 2 sin (2 x) = 0

sin (x) - 8 = cos (x) - 8

8 cos^{2} (x) sin (x) + 4 cos^{2} (x) = 0

What is the general solution for cos(x/3)= 1/2 ?
The general solution for cos(x/3)= 1/2 is x=pi+6pin,x=5pi+6pin