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

The general solution for sin(x/2-pi/3)= 1/2 is x=4pin+pi,x=4pin+(7pi)/3

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

sin (\frac{x}{2} - \frac{π}{3}) = \frac{1}{2}

x = 4 πn + π, x = 4 πn + \frac{7 π}{3}

Solution steps

sin (\frac{x}{2} - \frac{π}{3}) = \frac{1}{2}

General solutions for

sin (\frac{x}{2} - \frac{π}{3}) = \frac{1}{2}

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

Solve

\frac{x}{2} - \frac{π}{3} = \frac{π}{6} + 2 πn : x = 4 πn + π

Solve

\frac{x}{2} - \frac{π}{3} = \frac{5 π}{6} + 2 πn : x = 4 πn + \frac{7 π}{3}

x = 4 πn + π, x = 4 πn + \frac{7 π}{3}

2 tan (x) + sec (x) = 0, 0 \leq x < 2 π

1 - sin (x) = 3 cos (x)

cos (x) - sec (x) = 0

2 + 7 cos (x) = 4 sin^{2} (x)

4 arccos (x) = π

What is the general solution for sin(x/2-pi/3)= 1/2 ?
The general solution for sin(x/2-pi/3)= 1/2 is x=4pin+pi,x=4pin+(7pi)/3