# Thread: Is it safe to set the two operations equal to each other?

1. ## Is it safe to set the two operations equal to each other?

I have two operations.

$\displaystyle \frac{1}{2}\sin(\arctan{f(\frac{1}{2})})=0.4131847 431$

and

$\displaystyle \int_{0}^{1}g(x)dx=0.41318$

(The calculator rounds the integral to this)

Is it safe to set the two operations equal to each other?

I may not be using the term "operation" correctly here. But you get my drift.

2. Originally Posted by rainer
I have two operations.

$\displaystyle \frac{1}{2}\sin(\arctan{f(\frac{1}{2})})=0.4131847 431$

and

$\displaystyle \int_{0}^{1}g(x)dx=0.41318$

(The calculator rounds the integral to this)

Is it safe to set the two operations equal to each other?

I may not be using the term "operation" correctly here. But you get my drift.
I'm not really sure what you mean by setting the operations equal to each other. Perhaps you are confusing 'equation' and 'operation'.

The two equations are approximately equal, so you could write

$\displaystyle \int_0^1 g(x) dx \approx \frac{1}{2} \sin{ (\arctan{f(\frac{1}{2})})}$

You cannot safely set them as equal because they are not equal.