If I wanted to prove that sin(x) was a total function from R to R then I would say that f⊆ R X R where f := { (x,y) ∣ y = sin(x) , x ∊ R } and then it would satisfy the 2 conditions needed for it to be a total function. My problem is the fact that I use the function sin(x) in my definition for the function sin(x) which kind of seems like circular logic is there anyway to avoid this or am I just misunderstanding something and this isn't circular logic or is there something wrong with the proof. Thanks.
#Mapping sin(x)
urban relic
sour thornBOT
If I wanted to prove that sin(x) was a total function from R to R then I would s...
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