What is the domain of sx=(x+2)/(sin(x))?

1 Answer
Sep 22, 2016

x in {RR - npi, n in ZZ}

Explanation:

s(x)=(x+2)/sin(x) color(white)("XXX") or x+2/sin(x) (not clear which is intended)

is defined for all Real values of x except those for which sin(x)=0

Therefore the Domain of s(x) is all Real values excluding integer multiples of pi (for which sin(x)=0).