What is the general solution for -3tan^2(θ)-4tan(θ)=-4 ?

The general solution for -3tan^2(θ)-4tan(θ)=-4 is θ=-1.10714…+pin,θ=0.58800…+pin

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-3tan^2(θ)-4tan(θ)=-4

- 3 tan^{2} (θ) - 4 tan (θ) = - 4

θ = - 1.10714 \dots + πn, θ = 0.58800 \dots + πn

Solution steps

- 3 tan^{2} (θ) - 4 tan (θ) = - 4

Solve by substitution

tan (θ) = - 2, tan (θ) = \frac{2}{3}

tan (θ) = - 2 : θ = arctan (- 2) + πn

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

Combine all the solutions

θ = arctan (- 2) + πn, θ = arctan (\frac{2}{3}) + πn

Show solutions in decimal form

θ = - 1.10714 \dots + πn, θ = 0.58800 \dots + πn

(tan (x) + 1) (3 cot (x) + 1) = 0

4 cos^{2} (x) - 2 = 1

θ, x = r cos (θ)

1 + sec^{2} (x) = 3

2 cos (a) sin (a) - 4 cos (a) + 6 sin (a) - 12 = 0

What is the general solution for -3tan^2(θ)-4tan(θ)=-4 ?
The general solution for -3tan^2(θ)-4tan(θ)=-4 is θ=-1.10714…+pin,θ=0.58800…+pin