- #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).

- Thread starter Math10
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- #1

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

None.

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

- #2

Mark44

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Or sin(2A) = 2sin(A)cos(A).## 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).

Let A = ##\sqrt{x}##. Can you do something with that?

- #3

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

- #4

Ray Vickson

Science Advisor

Homework Helper

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You tell us.So it's 1-Asin(2A)?

- #5

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1-Asin(2A).

- #6

Mark44

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

- #7

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

- #8

Mark44

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

- #9

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

- #10

Mark44

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

- #11

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

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