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

The general solution for cos(x/2)=-(sqrt(3))/2 is x=(5pi)/3+4pin,x=(7pi)/3+4pin

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

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

x = \frac{5 π}{3} + 4 πn, x = \frac{7 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{5 π}{6} + 2 πn, \frac{x}{2} = \frac{7 π}{6} + 2 πn

Solve

\frac{x}{2} = \frac{5 π}{6} + 2 πn : x = \frac{5 π}{3} + 4 πn

Solve

\frac{x}{2} = \frac{7 π}{6} + 2 πn : x = \frac{7 π}{3} + 4 πn

x = \frac{5 π}{3} + 4 πn, x = \frac{7 π}{3} + 4 πn

tan (x) = 0.2

sin (2 t) + sin (t) = 0

2 sin^{2} (x) = 3 (cos (x) + 1)

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

tan^{2} (θ) - 6 tan (θ) + 5 = 0

What is the general solution for cos(x/2)=-(sqrt(3))/2 ?
The general solution for cos(x/2)=-(sqrt(3))/2 is x=(5pi)/3+4pin,x=(7pi)/3+4pin