What is the general solution for tan(θ/2)=sqrt(3) ?

The general solution for tan(θ/2)=sqrt(3) is θ=(2pi)/3+2pin

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tan(θ/2)=sqrt(3)

tan (\frac{θ}{2}) = 3

θ = \frac{2 π}{3} + 2 πn

Solution steps

tan (\frac{θ}{2}) = 3

General solutions for

tan (\frac{θ}{2}) = 3

\frac{θ}{2} = \frac{π}{3} + πn

Solve

\frac{θ}{2} = \frac{π}{3} + πn : θ = \frac{2 π}{3} + 2 πn

θ = \frac{2 π}{3} + 2 πn

tan (x) = \frac{1}{4}

cos^{2} (θ) - sin^{2} (θ) + sin (θ) = 0

3 tan (2 x) + 1 = 0

sin (x) = \frac{2}{π}

sin (2 x) cos (x) + cos (2 x) sin (x) = \frac{2}{2}

What is the general solution for tan(θ/2)=sqrt(3) ?
The general solution for tan(θ/2)=sqrt(3) is θ=(2pi)/3+2pin