What is the general solution for cot^2(x/2)=3 ?

The general solution for cot^2(x/2)=3 is x= pi/3+2pin,x=(5pi)/3+2pin

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cot^2(x/2)=3

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

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

Solution steps

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

Solve by substitution

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

cot (\frac{x}{2}) = 3 : x = \frac{π}{3} + 2 πn

cot (\frac{x}{2}) = - 3 : x = \frac{5 π}{3} + 2 πn

Combine all the solutions

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

4 cos (2 x) + 3 cos (x) = 1

0 = 2 sin (x)

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

4 sin (θ) + 5 = 7

6 arcsin (x) = π

What is the general solution for cot^2(x/2)=3 ?
The general solution for cot^2(x/2)=3 is x= pi/3+2pin,x=(5pi)/3+2pin