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

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

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tan^2(θ)-sqrt(3)tan(θ)=0

tan^{2} (θ) - 3 tan (θ) = 0

θ = \frac{π}{3} + πn, θ = πn

Solution steps

tan^{2} (θ) - 3 tan (θ) = 0

Solve by substitution

tan (θ) = 3, tan (θ) = 0

tan (θ) = 3 : θ = \frac{π}{3} + πn

tan (θ) = 0 : θ = πn

Combine all the solutions

θ = \frac{π}{3} + πn, θ = πn

x, tan (x) = 0

cos (θ) = - sin (- θ)

sin (x) - 3 cos (x) = 3

cot^{2} (x) - 2 csc (x) = - 1

3 csc (x) + csc (x) cot (x) = 0

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