What is the general solution for cot(θ)= 1/(cot(θ)) ?

The general solution for cot(θ)= 1/(cot(θ)) is θ= pi/4+pin,θ=(3pi)/4+pin

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cot(θ)= 1/(cot(θ))

cot (θ) = \frac{1}{cot ( θ )}

θ = \frac{π}{4} + πn, θ = \frac{3 π}{4} + πn

Solution steps

cot (θ) = \frac{1}{cot ( θ )}

Solve by substitution

cot (θ) = 1, cot (θ) = - 1

cot (θ) = 1 : θ = \frac{π}{4} + πn

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

Combine all the solutions

θ = \frac{π}{4} + πn, θ = \frac{3 π}{4} + πn

(tan (x))^{5} - 9 tan (x) = 0

2 cot^{2} (x) + 2 csc^{2} (x) = 1 + 4 csc (x)

sin (2 θ) = cos (θ), 0 \leq θ < 2 π

\frac{3}{2} sec (θ) = 3

4 csc (θ) - 3 = 0

What is the general solution for cot(θ)= 1/(cot(θ)) ?
The general solution for cot(θ)= 1/(cot(θ)) is θ= pi/4+pin,θ=(3pi)/4+pin