When I study the domain my function f
:
f[x_] := 2/(Cos[x]^2) + 1/Log[Sin[x]]
FunctionDomain[f[x], x, Reals]
I receive the following answer.
1/2 + x/π ∉ Integers && C[1] ∈ Integers && (2 π C[1] < x < 1/2 (π + 4 π C[1]) || 1/2 (π + 4 π C[1]) < x < π + 2 π C[1])
I find it difficult to interpret the beginning of the answer:
1/2 + x/π ∉ Integers
Please explain this part. For the rest, I'm ok.
x
had the value of [Pi]/2 the expression 1/2 + x/[Pi] would evaluate to 1, an integer. The expression says that it is prohibited for 1/2 + x/[Pi] to evaluate to be an integer or you will be outside the function domain. $\endgroup$