# How do I simplify this?

## Homework Statement

How to simplify 1-2*sqrt(x)*sin(sqrt(x))*cos(sqrt(x))?

None.

## The Attempt at a Solution

I know the identity that sin(2x)=2sin(x)cos(x).

Related Calculus and Beyond Homework Help News on Phys.org
Mark44
Mentor

## Homework Statement

How to simplify 1-2*sqrt(x)*sin(sqrt(x))*cos(sqrt(x))?

None.

## The Attempt at a Solution

I know the identity that sin(2x)=2sin(x)cos(x).
Or sin(2A) = 2sin(A)cos(A).
Let A = ##\sqrt{x}##. Can you do something with that?

So it's 1-Asin(2A)?

Ray Vickson
Homework Helper
Dearly Missed
So it's 1-Asin(2A)?
You tell us.

1-Asin(2A).

Mark44
Mentor
1-Asin(2A).
But what is A? There is no A in the original problem.

You said to let A=sqrt(x). See what you posted above.

Mark44
Mentor
You said to let A=sqrt(x). See what you posted above.
Right. So now replace A by ##\sqrt{x}##.

So 1-sqrt(x)*sin(2*sqrt(x)).

Mark44
Mentor
So 1-sqrt(x)*sin(2*sqrt(x)).
It's easy enough to check whether this is equal to what you started with.

LOL, never mind. I found my mistake in the problem. Thanks for the help.