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

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

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cot(θ)=cot^2(θ)

cot (θ) = cot^{2} (θ)

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

Solution steps

cot (θ) = cot^{2} (θ)

Solve by substitution

cot (θ) = 1, cot (θ) = 0

cot (θ) = 1 : θ = \frac{π}{4} + πn

cot (θ) = 0 : θ = \frac{π}{2} + πn

Combine all the solutions

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

17 sin (x) + 8 = sin (x)

sec (θ) - 1 = 0

2 (sin (x) + \frac{1}{2})^{2} + 1 = 3 sin (x) + \frac{1}{2}

sin (x) = - \frac{1}{3}

5 cot (x) + 5 = 0

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