What is the general solution for solvefor θ,x=tan^2(θ) ?

The general solution for solvefor θ,x=tan^2(θ) is θ=arctan(sqrt(x))+pin,θ=arctan(-sqrt(x))+pin

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solvefor θ,x=tan^2(θ)

solve for

θ, x = tan^{2} (θ)

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

Solution steps

x = tan^{2} (θ)

Switch sides

tan^{2} (θ) = x

Solve by substitution

tan (θ) = x, tan (θ) = - x

tan (θ) = x : θ = arctan (x) + πn

tan (θ) = - x : θ = arctan (- x) + πn

Combine all the solutions

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

sin^{2} (x) cos^{2} (x) = 1

- 1 = - 4 sec (x) - sec^{2} (x) - 5

tan (x) = \frac{2 3}{3} sin (x)

3 cos (x) - 1 = 0

tan (θ) = - 11

What is the general solution for solvefor θ,x=tan^2(θ) ?
The general solution for solvefor θ,x=tan^2(θ) is θ=arctan(sqrt(x))+pin,θ=arctan(-sqrt(x))+pin