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

The general solution for tan^2(θ)-4=0 is θ=1.10714…+pin,θ=-1.10714…+pin

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tan^2(θ)-4=0

tan^{2} (θ) - 4 = 0

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

Solution steps

tan^{2} (θ) - 4 = 0

Solve by substitution

tan (θ) = 2, tan (θ) = - 2

tan (θ) = 2 : θ = arctan (2) + πn

tan (θ) = - 2 : θ = arctan (- 2) + πn

Combine all the solutions

θ = arctan (2) + πn, θ = arctan (- 2) + πn

Show solutions in decimal form

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

csc^{2} (θ) - 2 csc (θ) - 8 = 0

(tan (θ) + 1) (cos (θ) + 1) = 0

sec (θ) = \frac{5}{3}

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

sin (θ) = \frac{7}{25}

What is the general solution for tan^2(θ)-4=0 ?
The general solution for tan^2(θ)-4=0 is θ=1.10714…+pin,θ=-1.10714…+pin