What is the general solution for cot^2(x)=-2cot(x)-1 ?

The general solution for cot^2(x)=-2cot(x)-1 is x=(3pi)/4+pin

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cot^2(x)=-2cot(x)-1

cot^{2} (x) = - 2 cot (x) - 1

x = \frac{3 π}{4} + πn

Solution steps

cot^{2} (x) = - 2 cot (x) - 1

Solve by substitution

cot (x) = - 1

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

Combine all the solutions

x = \frac{3 π}{4} + πn

cos (\frac{π t}{2}) = 0

sin (θ) = - \frac{3}{7}

tan (θ) = \frac{3}{- 1}

cos (x) = \frac{8}{10}

2 sin^{2} (x) + 3 = 0

What is the general solution for cot^2(x)=-2cot(x)-1 ?
The general solution for cot^2(x)=-2cot(x)-1 is x=(3pi)/4+pin