## Odd Function Problem

Complex numbers, rational functions, logarithms, sequences and series, matrix operations, etc.

### Re: Odd Function Problem

burnbird16 wrote:31. Write as a single equation in x and y: x = t + 1, y = $t^2+t$

solve $x = t + 1$ for $t$ and plug the expression for $t$ into $y = t^2+t$

Martingale

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### Re: Odd Function Problem

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.

Martingale

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Location: USA

### Re: Odd Function Problem

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!
burnbird16

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Joined: Sat May 22, 2010 1:29 am

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

stapel_eliz

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### Re:

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

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!
burnbird16

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Joined: Sat May 22, 2010 1:29 am

### Re: Odd Function Problem

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

Martingale

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Location: USA

### Re: Odd Function Problem

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.
burnbird16

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Joined: Sat May 22, 2010 1:29 am

### Re: Odd Function Problem

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.
burnbird16

Posts: 47
Joined: Sat May 22, 2010 1:29 am

### Re: Odd Function Problem

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 $\sin^2(t)+\cos^2(t)=1$

so replace with $x=\sin(t),
y=\cos(t)$

and solve for $y$

Martingale

Posts: 350
Joined: Mon Mar 30, 2009 1:30 pm
Location: USA

### Re: Odd Function Problem

But that's what I had originally, and I can't solve for y. Please, explain.
burnbird16

Posts: 47
Joined: Sat May 22, 2010 1:29 am

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