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

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

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

sin (x + \frac{π}{3}) = \frac{1}{2}

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

Solution steps

sin (x + \frac{π}{3}) = \frac{1}{2}

General solutions for

sin (x + \frac{π}{3}) = \frac{1}{2}

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

Solve

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

Solve

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

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

\frac{sin ( 4 7 ^{\circ} )}{12} = \frac{sin ( x )}{11}

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

2 cos (α) = 3

(csc (θ) + 2) (3 cot (θ) + 3) = 0

3 tan (x) - 2 sin (x) = 0

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