Question

How do you simplify the expression `sin(arctan(x/2))`?

Answer 1

`+-x/sqrt(4+x^2)`

Explanation:

Let a = arc tan(x/2). Then, `tan a = x/2`. As x is a variable, a could be

in any of the four quadrants.,

Accordingly, the given expression

`sin a= +-x/sqrt(4+x^2)`