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Answer :

To answer this question we will use a known relation between the sine and the arctangent:

[tex]\sin (\arctan x)=\frac{x}{\sqrt[]{1+x^2}}.[/tex]

Therefore, an equivalent expression to the one given is:

[tex]\frac{x}{\sqrt[]{1+x^2}}\text{.}[/tex]

Answer:

[tex]\frac{x}{\sqrt[]{1+x^2}}\text{.}[/tex]