How do I simplify this?

  • Thread starter Math10
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  • #1
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Homework Statement


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

Homework Equations


None.

The Attempt at a Solution


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

Answers and Replies

  • #2
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Homework Statement


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

Homework Equations


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?
 
  • #3
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So it's 1-Asin(2A)?
 
  • #4
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  • #5
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1-Asin(2A).
 
  • #7
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You said to let A=sqrt(x). See what you posted above.
 
  • #8
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You said to let A=sqrt(x). See what you posted above.
Right. So now replace A by ##\sqrt{x}##.
 
  • #9
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So 1-sqrt(x)*sin(2*sqrt(x)).
 
  • #10
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So 1-sqrt(x)*sin(2*sqrt(x)).
It's easy enough to check whether this is equal to what you started with.
 
  • #11
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LOL, never mind. I found my mistake in the problem. Thanks for the help.
 

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