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

The general solution for solvefor x,sin(x)=-1/2 is x=(7pi)/6+2pin,x=(11pi)/6+2pin

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

solve for

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

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

Solution steps

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

General solutions for

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

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

sin (\frac{θ}{2}) = \frac{1}{2}

4 cos (θ) - 22 = 0

4 cos (4 x) = 0

4 sin^{3} (x) - 3 sin (x) = 0

cos (2 x) + sin (x) = 0, 0 \leq x \leq 2 π

What is the general solution for solvefor x,sin(x)=-1/2 ?
The general solution for solvefor x,sin(x)=-1/2 is x=(7pi)/6+2pin,x=(11pi)/6+2pin