What is the general solution for sin(x+pi/9)=(sqrt(3))/2 ?

The general solution for sin(x+pi/9)=(sqrt(3))/2 is x=2pin+(2pi)/9 ,x=2pin+(5pi)/9

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sin(x+pi/9)=(sqrt(3))/2

sin (x + \frac{π}{9}) = \frac{3}{2}

x = 2 πn + \frac{2 π}{9}, x = 2 πn + \frac{5 π}{9}

Solution steps

sin (x + \frac{π}{9}) = \frac{3}{2}

General solutions for

sin (x + \frac{π}{9}) = \frac{3}{2}

x + \frac{π}{9} = \frac{π}{3} + 2 πn, x + \frac{π}{9} = \frac{2 π}{3} + 2 πn

Solve

x + \frac{π}{9} = \frac{π}{3} + 2 πn : x = 2 πn + \frac{2 π}{9}

Solve

x + \frac{π}{9} = \frac{2 π}{3} + 2 πn : x = 2 πn + \frac{5 π}{9}

x = 2 πn + \frac{2 π}{9}, x = 2 πn + \frac{5 π}{9}

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What is the general solution for sin(x+pi/9)=(sqrt(3))/2 ?
The general solution for sin(x+pi/9)=(sqrt(3))/2 is x=2pin+(2pi)/9 ,x=2pin+(5pi)/9