How do I simplify this?

1. Feb 24, 2015

Math10

1. The problem statement, all variables and given/known data
How to simplify 1-2*sqrt(x)*sin(sqrt(x))*cos(sqrt(x))?

2. Relevant equations
None.

3. The attempt at a solution
I know the identity that sin(2x)=2sin(x)cos(x).

2. Feb 24, 2015

Staff: Mentor

Or sin(2A) = 2sin(A)cos(A).
Let A = $\sqrt{x}$. Can you do something with that?

3. Feb 24, 2015

Math10

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

4. Feb 24, 2015

Ray Vickson

You tell us.

5. Feb 24, 2015

Math10

1-Asin(2A).

6. Feb 24, 2015

Staff: Mentor

But what is A? There is no A in the original problem.

7. Feb 25, 2015

Math10

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

8. Feb 25, 2015

Staff: Mentor

Right. So now replace A by $\sqrt{x}$.

9. Feb 26, 2015

Math10

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

10. Feb 26, 2015

Staff: Mentor

It's easy enough to check whether this is equal to what you started with.

11. Feb 27, 2015

Math10

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