What is the general solution for tan^2(θ)-3tan(θ)-4=0 ?

The general solution for tan^2(θ)-3tan(θ)-4=0 is θ=1.32581…+pin,θ=(3pi)/4+pin

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tan^2(θ)-3tan(θ)-4=0

tan^{2} (θ) - 3 tan (θ) - 4 = 0

θ = 1.32581 \dots + πn, θ = \frac{3 π}{4} + πn

Solution steps

tan^{2} (θ) - 3 tan (θ) - 4 = 0

Solve by substitution

tan (θ) = 4, tan (θ) = - 1

tan (θ) = 4 : θ = arctan (4) + πn

tan (θ) = - 1 : θ = \frac{3 π}{4} + πn

Combine all the solutions

θ = arctan (4) + πn, θ = \frac{3 π}{4} + πn

Show solutions in decimal form

θ = 1.32581 \dots + πn, θ = \frac{3 π}{4} + πn

3.25 = (9.8) sin (θ)

sin (θ) = - 3

sin (3 x - \frac{π}{3}) = \frac{1}{2}

- cos (θ) + cos (2 θ) = 0

cos (x) (cos (x) + 1) = 0

What is the general solution for tan^2(θ)-3tan(θ)-4=0 ?
The general solution for tan^2(θ)-3tan(θ)-4=0 is θ=1.32581…+pin,θ=(3pi)/4+pin