What is the general solution for cot^2(x)+3cot(x)+2=cot(x)+1 ?

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

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cot^2(x)+3cot(x)+2=cot(x)+1

cot^{2} (x) + 3 cot (x) + 2 = cot (x) + 1

x = \frac{3 π}{4} + πn

Solution steps

cot^{2} (x) + 3 cot (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

a^{2} = b^{2} + c^{2} - 2 b c \cdot cos (x)

3 sin^{2} (X) - cos (X) = 0

4 sin (θ) = csc (θ)

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

6 sin^{2} (a) + cos (2 a) = 2

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