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

The general solution for tan^2(θ)+2tan(θ)=0 is θ=pin,θ=-1.10714…+pin

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tan^2(θ)+2tan(θ)=0

tan^{2} (θ) + 2 tan (θ) = 0

θ = πn, θ = - 1.10714 \dots + πn

Solution steps

tan^{2} (θ) + 2 tan (θ) = 0

Solve by substitution

tan (θ) = 0, tan (θ) = - 2

tan (θ) = 0 : θ = πn

tan (θ) = - 2 : θ = arctan (- 2) + πn

Combine all the solutions

θ = πn, θ = arctan (- 2) + πn

Show solutions in decimal form

θ = πn, θ = - 1.10714 \dots + πn

cos (2 x) = 2 cos (x) sin (x)

3 tan (3 θ) + 1 = 0

2 sec (x) csc (x) = 4 csc (x)

tan (2 x) + 2 cos (x) = 0

cos (3 x) = 2

What is the general solution for tan^2(θ)+2tan(θ)=0 ?
The general solution for tan^2(θ)+2tan(θ)=0 is θ=pin,θ=-1.10714…+pin