What is the general solution for sqrt(3)tan(x/2)-1=0 ?

The general solution for sqrt(3)tan(x/2)-1=0 is x= pi/3+2pin

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sqrt(3)tan(x/2)-1=0

3 tan (\frac{x}{2}) - 1 = 0

x = \frac{π}{3} + 2 πn

Solution steps

3 tan (\frac{x}{2}) - 1 = 0

Move

1

to the right side

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

Divide both sides by

3

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

cos (2 x) = 0.5

cos^{2} (x) = - 1

cos (2 x) = 1 - sin (x)

- cos (x) = - sin^{2} (x) - 1

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

What is the general solution for sqrt(3)tan(x/2)-1=0 ?
The general solution for sqrt(3)tan(x/2)-1=0 is x= pi/3+2pin