What is the general solution for sin(1/3 x+(3pi)/2)=0 ?

The general solution for sin(1/3 x+(3pi)/2)=0 is x=6pin-(9pi)/2 ,x=3pi+6pin-(9pi)/2

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sin(1/3 x+(3pi)/2)=0

sin (\frac{1}{3} x + \frac{3 π}{2}) = 0

x = 6 πn - \frac{9 π}{2}, x = 3 π + 6 πn - \frac{9 π}{2}

Solution steps

sin (\frac{1}{3} x + \frac{3 π}{2}) = 0

General solutions for

sin (\frac{1}{3} x + \frac{3 π}{2}) = 0

\frac{1}{3} x + \frac{3 π}{2} = 0 + 2 πn, \frac{1}{3} x + \frac{3 π}{2} = π + 2 πn

Solve

\frac{1}{3} x + \frac{3 π}{2} = 0 + 2 πn : x = 6 πn - \frac{9 π}{2}

Solve

\frac{1}{3} x + \frac{3 π}{2} = π + 2 πn : x = 3 π + 6 πn - \frac{9 π}{2}

x = 6 πn - \frac{9 π}{2}, x = 3 π + 6 πn - \frac{9 π}{2}

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What is the general solution for sin(1/3 x+(3pi)/2)=0 ?
The general solution for sin(1/3 x+(3pi)/2)=0 is x=6pin-(9pi)/2 ,x=3pi+6pin-(9pi)/2