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

The general solution for cot^2(θ)=-cot(θ) is θ= pi/2+pin,θ=(3pi)/4+pin

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cot^2(θ)=-cot(θ)

cot^{2} (θ) = - cot (θ)

θ = \frac{π}{2} + πn, θ = \frac{3 π}{4} + πn

Solution steps

cot^{2} (θ) = - cot (θ)

Solve by substitution

cot (θ) = 0, cot (θ) = - 1

cot (θ) = 0 : θ = \frac{π}{2} + πn

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

Combine all the solutions

θ = \frac{π}{2} + πn, θ = \frac{3 π}{4} + πn

sin (x) = \frac{- 4}{7}

1 - cos (θ) = \frac{2 π}{3}

0.2727 = sec (2.746 x) - 1

23 sin (2 θ) = 3, 0 \leq θ < 2 π

cos (x) - 3 = 3 cos (x)

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