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

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

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cos(x-pi/3)= 1/2

cos (x - \frac{π}{3}) = \frac{1}{2}

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

Solution steps

cos (x - \frac{π}{3}) = \frac{1}{2}

General solutions for

cos (x - \frac{π}{3}) = \frac{1}{2}

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

Solve

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

Solve

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

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

tan (x) = \frac{7}{5}

- 2 cos (2 x) = 0

sin (7 x) - 1 = 0

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

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

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