What is the general solution for sin(x+pi/6)=-1 ?

The general solution for sin(x+pi/6)=-1 is x=2pin+(4pi)/3

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sin(x+pi/6)=-1

sin (x + \frac{π}{6}) = - 1

x = 2 πn + \frac{4 π}{3}

Solution steps

sin (x + \frac{π}{6}) = - 1

General solutions for

sin (x + \frac{π}{6}) = - 1

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

Solve

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

x = 2 πn + \frac{4 π}{3}

sec (x) = \frac{4}{3}

4 cos (x) + 3 cos (x) = 5

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

3 sin (x) = 3 \cdot sin (x) + 3 cos (x) + 3 sin (x)

csc (θ) + 1 = 0, (0, 2 π)

What is the general solution for sin(x+pi/6)=-1 ?
The general solution for sin(x+pi/6)=-1 is x=2pin+(4pi)/3