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

The general solution for cos(x/2)=(sqrt(3))/2 is x= pi/3+4pin,x=(11pi)/3+4pin

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

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

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

Solution steps

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

General solutions for

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

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

Solve

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

Solve

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

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

2 sin^{2} (θ) - 3 cos (θ) = 0

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

sin (θ) = 0.4

cos (x) = 3 sin (x)

2 sin (x) = cot (x)

What is the general solution for cos(x/2)=(sqrt(3))/2 ?
The general solution for cos(x/2)=(sqrt(3))/2 is x= pi/3+4pin,x=(11pi)/3+4pin