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

The general solution for sin(1/2 x)=-1/2 is x=(7pi)/3+4pin,x=(11pi)/3+4pin

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sin(1/2 x)=-1/2

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

x = \frac{7 π}{3} + 4 πn, x = \frac{11 π}{3} + 4 πn

Solution steps

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

General solutions for

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

\frac{1}{2} x = \frac{7 π}{6} + 2 πn, \frac{1}{2} x = \frac{11 π}{6} + 2 πn

Solve

\frac{1}{2} x = \frac{7 π}{6} + 2 πn : x = \frac{7 π}{3} + 4 πn

Solve

\frac{1}{2} x = \frac{11 π}{6} + 2 πn : x = \frac{11 π}{3} + 4 πn

x = \frac{7 π}{3} + 4 πn, x = \frac{11 π}{3} + 4 πn

4 cos (x) - 3 cos (x) - 1 = 0

3 sin (6 0^{\circ} - \frac{3 x}{4}) = 5 sin (\frac{3 x}{4} - 3 0^{\circ})

tan (u) = \frac{3}{3}

\frac{sin ( θ )}{60} = \frac{sin ( 8 0 ^{\circ} )}{280.87}

5.63 = 11 cos (\frac{2 π}{T} 0.137)

What is the general solution for sin(1/2 x)=-1/2 ?
The general solution for sin(1/2 x)=-1/2 is x=(7pi)/3+4pin,x=(11pi)/3+4pin