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#58. Write an algebraic expression that is equivalent to the given expression.

58 Write An Algebraic Expression That Is Equivalent To The Given Expression class=

Sagot :

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]