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

The general solution for sin(2x+pi/6)=-1/2 is x=pin+pi/2 ,x=pin+(5pi)/6

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sin(2x+pi/6)=-1/2

sin (2 x + \frac{π}{6}) = - \frac{1}{2}

x = πn + \frac{π}{2}, x = πn + \frac{5 π}{6}

Solution steps

sin (2 x + \frac{π}{6}) = - \frac{1}{2}

General solutions for

sin (2 x + \frac{π}{6}) = - \frac{1}{2}

2 x + \frac{π}{6} = \frac{7 π}{6} + 2 πn, 2 x + \frac{π}{6} = \frac{11 π}{6} + 2 πn

Solve

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

Solve

2 x + \frac{π}{6} = \frac{11 π}{6} + 2 πn : x = πn + \frac{5 π}{6}

x = πn + \frac{π}{2}, x = πn + \frac{5 π}{6}

sin (θ) = - \frac{11}{6}

tan (θ) = \frac{3}{1}

cos (θ) = - \frac{4}{7}

3 sinh (x) + cosh (x) = - 2

cos (2 + 3 \cdot x) - cos (- 0.5) = 0

What is the general solution for sin(2x+pi/6)=-1/2 ?
The general solution for sin(2x+pi/6)=-1/2 is x=pin+pi/2 ,x=pin+(5pi)/6