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

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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#).

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