What is the general solution for sin(x+pi/6)=(sqrt(2))/2 ?

The general solution for sin(x+pi/6)=(sqrt(2))/2 is x=2pin+pi/(12),x=2pin+(7pi)/(12)

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sin(x+pi/6)=(sqrt(2))/2

sin (x + \frac{π}{6}) = \frac{2}{2}

x = 2 πn + \frac{π}{12}, x = 2 πn + \frac{7 π}{12}

Solution steps

sin (x + \frac{π}{6}) = \frac{2}{2}

General solutions for

sin (x + \frac{π}{6}) = \frac{2}{2}

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

Solve

x + \frac{π}{6} = \frac{π}{4} + 2 πn : x = 2 πn + \frac{π}{12}

Solve

x + \frac{π}{6} = \frac{3 π}{4} + 2 πn : x = 2 πn + \frac{7 π}{12}

x = 2 πn + \frac{π}{12}, x = 2 πn + \frac{7 π}{12}

\frac{1}{2} = cos (x)

2 sin (4 x) = sin (2 x)

csc (x) sec (x) = 22

u, x = sinh (u)

sin (θ) = \frac{tan ( θ )}{sin ( θ )}

What is the general solution for sin(x+pi/6)=(sqrt(2))/2 ?
The general solution for sin(x+pi/6)=(sqrt(2))/2 is x=2pin+pi/(12),x=2pin+(7pi)/(12)