I'm trying to calculate values for x where tan(x)=ComplexInfinity. For this I just expected to input tan(x)=ComplexInfinity however, the system doesn't seem to understand this input.
For example, if enter sin(x)=1 it returns a solution: 1/2(4?n+?). I'm trying to get a similar output for the formula above.
tan(x) first reaches CompexInfinity at ?/2, then has a period of ?, so I expect a result should be possible.
Does anyone know if I am inputting this incorrectly, or is this not possible in the system?
In:= Reduce[Tan[x]^-1 == 0, x, Reals]
Out= C \[Element]
Integers && (x == -(\[Pi]/2) + 2 \[Pi] C ||
x == \[Pi]/2 + 2 \[Pi] C)