What is the general solution for sin(1/6 x)=0 ?

The general solution for sin(1/6 x)=0 is x=12pin,x=6pi+12pin

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sin(1/6 x)=0

sin (\frac{1}{6} x) = 0

x = 12 πn, x = 6 π + 12 πn

Solution steps

sin (\frac{1}{6} x) = 0

General solutions for

sin (\frac{1}{6} x) = 0

\frac{1}{6} x = 0 + 2 πn, \frac{1}{6} x = π + 2 πn

Solve

\frac{1}{6} x = 0 + 2 πn : x = 12 πn

Solve

\frac{1}{6} x = π + 2 πn : x = 6 π + 12 πn

x = 12 πn, x = 6 π + 12 πn

2 sin (x - \frac{π}{6}) = cos (x - \frac{π}{3})

- 3 sin^{2} (θ) + 5 sin (θ) - 1 = 1

14 sin^{2} (x) + 21 sin (x) + 7 = 0

2 sec (θ) + 6 = 10

2 sin^{2} (θ) = 3 sin (θ) - 1

What is the general solution for sin(1/6 x)=0 ?
The general solution for sin(1/6 x)=0 is x=12pin,x=6pi+12pin