What is the general solution for sqrt(3)tan^2(θ)+2tan(θ)-sqrt(3)=0 ?

The general solution for sqrt(3)tan^2(θ)+2tan(θ)-sqrt(3)=0 is θ= pi/6+pin,θ=(2pi)/3+pin

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sqrt(3)tan^2(θ)+2tan(θ)-sqrt(3)=0

3 tan^{2} (θ) + 2 tan (θ) - 3 = 0

θ = \frac{π}{6} + πn, θ = \frac{2 π}{3} + πn

Solution steps

3 tan^{2} (θ) + 2 tan (θ) - 3 = 0

Solve by substitution

tan (θ) = \frac{3}{3}, tan (θ) = - 3

tan (θ) = \frac{3}{3} : θ = \frac{π}{6} + πn

tan (θ) = - 3 : θ = \frac{2 π}{3} + πn

Combine all the solutions

θ = \frac{π}{6} + πn, θ = \frac{2 π}{3} + πn

sinh (x) = \frac{1}{2}

sin^{2} (x) \cdot sec (x) = \frac{sin ^{2} ( x )}{cot ( x )}

2 tan (θ) + sin (θ) cos (θ) = 0

sec (x) = \frac{25}{7}

sin (\frac{x}{2}) = \frac{1}{2} sin (x)

What is the general solution for sqrt(3)tan^2(θ)+2tan(θ)-sqrt(3)=0 ?
The general solution for sqrt(3)tan^2(θ)+2tan(θ)-sqrt(3)=0 is θ= pi/6+pin,θ=(2pi)/3+pin