Question

How do you simplify the expression `sin(arctan(3/4))`?

Answer 1

Using the formula `sin(arctan(x))=x/sqrt(1+x^2)`.

Explanation:

We have the equation

`sin(arctan(x))=x/sqrt(1+x^2)`

that for your case is

`sin(arctan(3/4))=(3/4)/sqrt(1+3/4)`

`=3/(4sqrt(7/4))`

`=3/(2sqrt(7))`.