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Math Forum / Mathematics / Undergraduate Math / October 2008



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Sinwave

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mjunky - 30 Oct 2008 07:04 GMT
For different values of X,  Y i.e Sin-wave would be either maximum or minimum,I plotted all the points.
With the help of x values I want to find out y values.
I'm thinking like this.Finding out area bounded by the wave,so with the help of 'Area' and 'x' values,finding out y values.

please help me here.
Thanks.
William Elliot - 30 Oct 2008 08:33 GMT
> For different values of X, Y i.e Sin-wave would be either maximum or
> minimum,I plotted all the points.

Put a space after the comma.  Write "minimum, I" so your post is
easier to read.

What are you taking about.  A simple sin curve,
    y = sin x?

> With the help of x values I want to find out y values.

Use a table of sins, use the sin function on your calculator
or use the Taylor series for sin.
    sin x = x - x^3/3! + x^5/5! - x^7/7! + ...
that is
    sin x = sum(n=1,oo) -(-1)^n * x^(2n - 1) / (2n - 1)!

> I'm thinking like this.Finding out area bounded by the wave,so with the
> help of 'Area' and 'x' values,finding out y values.

Put a space after the period.  Write "this. Finding" so your post is
easier to read.  Also there's two commas without spaces.  I'm going
to skip reading that sentence as it becoming bothersome to read.
Spaces are important.  Use them.  Irepeat,spacesareimportant.Usethem!

> please help me here.

Help you with what?  Writing or mathematics?
[Mr.] Lynn Kurtz - 30 Oct 2008 19:03 GMT
>For different values of X,  Y i.e Sin-wave would be either maximum or minimum,I plotted all the points.
>With the help of x values I want to find out y values.
>I'm thinking like this.Finding out area bounded by the wave,so with the help of 'Area' and 'x' values,finding out y values.
>
>please help me here.
>Thanks.

Your question isn't worded very clearly. Are you asking this:

"If I know the area A under the first arch of y = sin(x) between x = 0
and x = t, how do I find the value of y = sin(t)"?

*If* that is what you are asking, the answer is:

y = Arccos( 1 - A)

--Lynn
... - 30 Oct 2008 20:45 GMT
>>For different values of X,  Y i.e Sin-wave would be either maximum or minimum,I plotted all the points.
>>With the help of x values I want to find out y values.
[quoted text clipped - 13 lines]
>
>--Lynn

Umm ... shouldn't that be  t = Arccos(1 - A) ?

  y = sin[ Arccos(1 - A) ]

--
[Mr.] Lynn Kurtz - 30 Oct 2008 23:10 GMT
>>>For different values of X,  Y i.e Sin-wave would be either maximum or minimum,I plotted all the points.
>>>With the help of x values I want to find out y values.
[quoted text clipped - 17 lines]
>
>   y = sin[ Arccos(1 - A) ]

Yes.
 
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