What is the general solution for -1=tan^2(θ) ?

The general solution for -1=tan^2(θ) is No Solution for θ\in\mathbb{R}

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-1=tan^2(θ)

- 1 = tan^{2} (θ)

No Solution for θ \in R

Solution steps

- 1 = tan^{2} (θ)

Switch sides

tan^{2} (θ) = - 1

Solve by substitution

tan (θ) = i, tan (θ) = - i

tan (θ) = i :

No Solution

tan (θ) = - i :

No Solution

Combine all the solutions

No Solution for θ \in R

y, x = - cos (y)

tan (x) = \frac{3}{6}

θ, r = 1 + cos (2 θ)

tan (x) + tan (x + 4 5^{\circ}) = - 2

tan (x) = \frac{22.5}{34}

What is the general solution for -1=tan^2(θ) ?
The general solution for -1=tan^2(θ) is No Solution for θ\in\mathbb{R}