Question
Determine the nature of the function$f(x)=\frac{\sin \left(\tan \left(\log \left(x+\sqrt{x^{2}+1}\right)\right)\right)}{\sqrt{x^{2}+1}+\sin (\cos x)+\cos (\sin x)}$
Step 1
We can denote the numerator as $g(x) = \sin \left(\tan \left(\log \left(x+\sqrt{x^{2}+1}\right)\right)\right)$. This is an odd function because the sine function is odd, and the composition of odd functions is also odd. Show more…
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