What is the general solution for cos(x/2)=(sqrt(3))/2 ,0<= x<= 2pi ?

The general solution for cos(x/2)=(sqrt(3))/2 ,0<= x<= 2pi is x= pi/3

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cos(x/2)=(sqrt(3))/2 ,0<= x<= 2pi

cos (\frac{x}{2}) = \frac{3}{2}, 0 \leq x \leq 2 π

x = \frac{π}{3}

Solution steps

cos (\frac{x}{2}) = \frac{3}{2}, 0 \leq x \leq 2 π

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

Solutions for the range

0 \leq x \leq 2 π

x = \frac{π}{3}

sin (x) = 0.65

sin (x) = 0.78

sin (x) = 0.85

sin (x) = 0.83

sin (x) = 0.79

What is the general solution for cos(x/2)=(sqrt(3))/2 ,0<= x<= 2pi ?
The general solution for cos(x/2)=(sqrt(3))/2 ,0<= x<= 2pi is x= pi/3