What is the general solution for tan(x/2)=sqrt(3),0<= x<= 2pi ?

The general solution for tan(x/2)=sqrt(3),0<= x<= 2pi is x=(2pi)/3

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tan(x/2)=sqrt(3),0<= x<= 2pi

tan (\frac{x}{2}) = 3, 0 \leq x \leq 2 π

x = \frac{2 π}{3}

Solution steps

tan (\frac{x}{2}) = 3, 0 \leq x \leq 2 π

General solutions for

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

\frac{x}{2} = \frac{π}{3} + πn

Solve

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

x = \frac{2 π}{3} + 2 πn

Solutions for the range

0 \leq x \leq 2 π

x = \frac{2 π}{3}

0 = 4 sin (2 θ)

tan (θ) + 3 = 0

cos (2 x) - 4 cos (x) + 3 = 0

6 cos^{2} (A) - 5 cos (A) + 1 = 0

cos (x) tan^{2} (x) - 3 cos (x) = 0

What is the general solution for tan(x/2)=sqrt(3),0<= x<= 2pi ?
The general solution for tan(x/2)=sqrt(3),0<= x<= 2pi is x=(2pi)/3