What is the general solution for cot^2(3x)-2cot(3x)+1=0 ?

The general solution for cot^2(3x)-2cot(3x)+1=0 is x= pi/(12)+(pin)/3

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cot^2(3x)-2cot(3x)+1=0

cot^{2} (3 x) - 2 cot (3 x) + 1 = 0

x = \frac{π}{12} + \frac{πn}{3}

Solution steps

cot^{2} (3 x) - 2 cot (3 x) + 1 = 0

Solve by substitution

cot (3 x) = 1

cot (3 x) = 1 : x = \frac{π}{12} + \frac{πn}{3}

Combine all the solutions

x = \frac{π}{12} + \frac{πn}{3}

- \frac{tanh ( n x )}{cosh ( n x )} = 0

sin (φ) = 0

sin^{2} (x) = 1 - tan^{2} (x), 0 \leq x \leq \frac{π}{2}

sin (0.3 x) = 1

22.89 = cos (a)

What is the general solution for cot^2(3x)-2cot(3x)+1=0 ?
The general solution for cot^2(3x)-2cot(3x)+1=0 is x= pi/(12)+(pin)/3