Odd Function Problem

Complex numbers, rational functions, logarithms, sequences and series, matrix operations, etc.
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Martingale
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Re: Odd Function Problem

Postby Martingale » Sun Aug 22, 2010 11:12 pm

burnbird16 wrote:31. Write as a single equation in x and y: x = t + 1, y =


solve for and plug the expression for into

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Re: Odd Function Problem

Postby Martingale » Sun Aug 22, 2010 11:14 pm

burnbird16 wrote:34. Express x in terms of the other variables in this picture: http://www.flickr.com/photos/46210274@N07/4918073428/ (I drew it myself, I know it's kind of small, but it is a replica of the drawings in the packet)


Use the properties of similar triangles.

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Re: Odd Function Problem

Postby burnbird16 » Sun Aug 22, 2010 11:16 pm

Martingale wrote:Use the properties of similar triangles.

Oh, okay, well, what are the properties of similar triangles, or where can I find them here on Purplemath?

And thank you for answering all of my other questions, I'm pretty much done with the packet after these!

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stapel_eliz
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Postby stapel_eliz » Sun Aug 22, 2010 11:20 pm

Hint: For pairs of similar figures, the pairs of corresponding sides are proportional. :wink:

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Re:

Postby burnbird16 » Sun Aug 22, 2010 11:28 pm

stapel_eliz wrote:Hint: For pairs of similar figures, the pairs of corresponding sides are proportional. :wink:

Oh, alright! I thought that would just be too simple to work. >< When I get to this one, I'll return with the finished product! :D

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Martingale
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Re: Odd Function Problem

Postby Martingale » Sun Aug 22, 2010 11:29 pm

Your title to this thread through me off a little... you know that there are function that are Odd Functions.

So 2x+3 is not and odd function :mrgreen:

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Re: Odd Function Problem

Postby burnbird16 » Sun Aug 22, 2010 11:31 pm

Oh, I'm sorry, I didn't mean to throw you off. I was aware of the existence of odd functions, but this one is odd as in strange, or different.

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Re: Odd Function Problem

Postby burnbird16 » Mon Aug 23, 2010 12:31 am

Okay, I've got another one from question 31. It's letter c, and as before, I'm supposed to write it as one equation, but this one involves sine and cosine:

x=sin t
y=cos t

I need some help here. What I did was:

t = arcsin x

y = cos (arcsin x)

But that can't be right, and if it is, I don't know how to complete it.

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Martingale
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Re: Odd Function Problem

Postby Martingale » Mon Aug 23, 2010 12:37 am

burnbird16 wrote:Okay, I've got another one from question 31. It's letter c, and as before, I'm supposed to write it as one equation, but this one involves sine and cosine:

x=sin t
y=cos t

I need some help here. What I did was:

t = arcsin x

y = cos (arcsin x)

But that can't be right, and if it is, I don't know how to complete it.


One way ....

we know

so replace with

and solve for

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Re: Odd Function Problem

Postby burnbird16 » Mon Aug 23, 2010 12:40 am

But that's what I had originally, and I can't solve for y. Please, explain.


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