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

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

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

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

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

Solution steps

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

General solutions for

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

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

Solve

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

Solve

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

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

cos (x) tan (x) - cos (x) = 0

4 cos (x + 7 0^{\circ}) = 3

4 cos (2 x) = 0

tan (3 x) = - \frac{3}{3}

tan^{2} (x) + 3 = 2 sec^{2} (x)

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