What is the general solution for cot^2(x)-cot(x)=0 ?

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

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cot^2(x)-cot(x)=0

cot^{2} (x) - cot (x) = 0

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

Solution steps

cot^{2} (x) - cot (x) = 0

Solve by substitution

cot (x) = 1, cot (x) = 0

cot (x) = 1 : x = \frac{π}{4} + πn

cot (x) = 0 : x = \frac{π}{2} + πn

Combine all the solutions

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

2 cos (\frac{x}{2}) + 1 = 0

- tan (2 θ) + 2 sin (θ) = 0

- 3 cos^{2} (θ) + 6 = sin (θ) + 5

cos^{2} (θ) + 4 cos (θ) = 0

2 sin (x) = 2

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