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=(5pi)/3+2pin

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

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

x = \frac{5 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{5 π}{6} + πn

Solve

\frac{x}{2} = \frac{5 π}{6} + πn : x = \frac{5 π}{3} + 2 πn

x = \frac{5 π}{3} + 2 πn

2 cos^{2} (x) - 1 = 0, 0 \leq x \leq 2 π

sin (θ) = 0.82

tan (x) = \frac{1}{10}

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

8 sin^{2} (x) 2 cos (x) = 7, 0 \leq x \leq 2 π

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=(5pi)/3+2pin