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How do I simplify this?

  1. Feb 24, 2015 #1
    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. jcsd
  3. Feb 24, 2015 #2

    Mark44

    Staff: Mentor

    Or sin(2A) = 2sin(A)cos(A).
    Let A = ##\sqrt{x}##. Can you do something with that?
     
  4. Feb 24, 2015 #3
    So it's 1-Asin(2A)?
     
  5. Feb 24, 2015 #4

    Ray Vickson

    User Avatar
    Science Advisor
    Homework Helper

    You tell us.
     
  6. Feb 24, 2015 #5
    1-Asin(2A).
     
  7. Feb 24, 2015 #6

    Mark44

    Staff: Mentor

    But what is A? There is no A in the original problem.
     
  8. Feb 25, 2015 #7
    You said to let A=sqrt(x). See what you posted above.
     
  9. Feb 25, 2015 #8

    Mark44

    Staff: Mentor

    Right. So now replace A by ##\sqrt{x}##.
     
  10. Feb 26, 2015 #9
    So 1-sqrt(x)*sin(2*sqrt(x)).
     
  11. Feb 26, 2015 #10

    Mark44

    Staff: Mentor

    It's easy enough to check whether this is equal to what you started with.
     
  12. Feb 27, 2015 #11
    LOL, never mind. I found my mistake in the problem. Thanks for the help.
     
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