Question

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

Answer 1

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

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

Therefore, an equivalent expression to the one given is:

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

Answer:

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