What is the general solution for tan(x/2)= 1/(sqrt(3)) ?

The general solution for tan(x/2)= 1/(sqrt(3)) is x= pi/3+2pin

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tan(x/2)= 1/(sqrt(3))

tan (\frac{x}{2}) = \frac{1}{3}

x = \frac{π}{3} + 2 πn

Solution steps

tan (\frac{x}{2}) = \frac{1}{3}

Simplify

\frac{1}{3} : \frac{3}{3}

General solutions for

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

\frac{x}{2} = \frac{π}{6} + πn

Solve

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

x = \frac{π}{3} + 2 πn

6 cos (x) = 5

6 cos (2 x) = 6 cos^{2} (x) - 5

1 - cos (x) = - sin (x)

tan (x) = 1, - 2 π \leq x \leq 2 π

(- 4 cos (x) - 6 sin (x))^{2} - 20 sin^{2} (x) = 16

What is the general solution for tan(x/2)= 1/(sqrt(3)) ?
The general solution for tan(x/2)= 1/(sqrt(3)) is x= pi/3+2pin