What is the general solution for cot^2(θ)+cot(θ)=0 ?

The general solution for cot^2(θ)+cot(θ)=0 is θ= pi/2+pin,θ=(3pi)/4+pin

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cot^2(θ)+cot(θ)=0

cot^{2} (θ) + cot (θ) = 0

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

Solution steps

cot^{2} (θ) + cot (θ) = 0

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

3 cos^{2} (θ) - cos (θ) - 4 = 0

sin (x) = \frac{120 \cdot sin ( 8 )}{30}

sin (θ) = (5)

cos^{2} (x) - 3 cos (x) - 2 = 0

tan (4 x) = tan (2 x)

What is the general solution for cot^2(θ)+cot(θ)=0 ?
The general solution for cot^2(θ)+cot(θ)=0 is θ= pi/2+pin,θ=(3pi)/4+pin