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

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

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

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

x = \frac{π}{2} + πn

Solution steps

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

Solve by substitution

cot (x) = 0

cot (x) = 0 : x = \frac{π}{2} + πn

Combine all the solutions

x = \frac{π}{2} + πn

cos (x) = \frac{4}{10}

16 cos (2 x) - 4 = 0

- csc (x) cot (x) = 0

4 sin (θ) = \frac{1}{cos ( θ )}

3 sin (2 x) = - sin (x)

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