1
$\begingroup$

Write each pair of equations as a single equation in $x$ and $y$.
a)$\begin{cases} x=t+1 &\\ y=t^2-t & \\ \end{cases}$ b)$ \begin{cases} x=\sqrt[3]{t}-1 &\\ y=t^2-t & \\ \end{cases}$ c)$\begin{cases} x=\sin t &\\ y=\cos t & \\ \end{cases}$

All I want to know is what the question is asking me to do. Please do not give me the answer to any of these, if needed please make up an example. After that, I will edit with my steps to see if I am doing this correctly.

Edit: Now, I know this has come up before, but can someone please tell me the difference between $\arcsin$ and $\sin^{-1}$. Or are they the same?

  • 1
    What the question is asking you to do is this: Right now each of (a) (b) and (c) express x and y as functions of t. The problem would like you to just have one expression relating x and y. One way to do this is to solve the x or y expression for t, and then substitute into the other. Example: $x = t + 1$, $y = t - 1$. Then from the first equation $t = x - 1$, so substituting into the second $y = (x - 1) - 1 $, so $y = x-2$.2012-08-07
  • 0
    @AustinBroussard The method is the same, but the solution differs, because Jason solved a different problem ;)2012-08-08
  • 0
    @MTurgeon oh goodness. I was reading a different problem!2012-08-08
  • 0
    "...can someone please tell me the difference between..." - see [this](http://math.stackexchange.com/questions/30317)2012-08-08
  • 0
    @AustinBroussard Welcome to math.SE! I see that you have posted quite a few questions here. In order to help you, I would like to offer a couple of suggestions. First, if you don't understand what a homework exercise is asking, you should look at the examples in the chapter. Also, you should look at your notes from class for similar problems. These can help you get started. Finally, when you ask questions here and there is something you don't understand about the problem, we can more easily answer your question if you tell us which words in the exercise confuse you. Good luck with your HW!2012-08-08
  • 0
    I will also add that if you are already doing the things that I suggested, then post the examples you looked at or anything else you have done to try to solve the problem.2012-08-08

3 Answers 3