What is the general solution for sin(x/2)+(sqrt(3))/2 =0 ?

The general solution for sin(x/2)+(sqrt(3))/2 =0 is x=(8pi)/3+4pin,x=(10pi)/3+4pin

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sin(x/2)+(sqrt(3))/2 =0

sin (\frac{x}{2}) + \frac{3}{2} = 0

x = \frac{8 π}{3} + 4 πn, x = \frac{10 π}{3} + 4 πn

Solution steps

sin (\frac{x}{2}) + \frac{3}{2} = 0

Move

\frac{3}{2}

to the right side

sin (\frac{x}{2}) = - \frac{3}{2}

General solutions for

sin (\frac{x}{2}) = - \frac{3}{2}

\frac{x}{2} = \frac{4 π}{3} + 2 πn, \frac{x}{2} = \frac{5 π}{3} + 2 πn

Solve

\frac{x}{2} = \frac{4 π}{3} + 2 πn : x = \frac{8 π}{3} + 4 πn

Solve

\frac{x}{2} = \frac{5 π}{3} + 2 πn : x = \frac{10 π}{3} + 4 πn

x = \frac{8 π}{3} + 4 πn, x = \frac{10 π}{3} + 4 πn

cos (x) = 0.818

sin (x) = \frac{150}{212.6} (sin (11 5^{\circ}))

16 cos (2 θ) - 9 = 0

0 = 2 + 3 cos (θ) + cos (2 θ)

sin (2 θ) = cos (θ), 2

What is the general solution for sin(x/2)+(sqrt(3))/2 =0 ?
The general solution for sin(x/2)+(sqrt(3))/2 =0 is x=(8pi)/3+4pin,x=(10pi)/3+4pin