## yuki 5 years ago can someone try to solve this parametric eqn. problem?

1. Yuki

$x_t = 6(t-\sin(t)), y_t = 6(1-\cos(t))$

2. anonymous

-y+6=cost arccos(-y+6)=t x=6arccos(-y+6)-6sin(arccos(-y+6))

3. amistre64

whats the problem?

4. amistre64

are you trying to combine them into a funtion of x?

5. anonymous

Thats probably what he wanted.

6. amistre64

probably :)

7. amistre64

i wonder if t-sin(t) is a typo...

8. Yuki

sorry guys, I was a bit busy

9. Yuki

the thing is that t-sin(t) is not a typo and I know how to "eliminate t"

10. Yuki

the problem is that a high school student asked me this question and I doubt that this is the answer that the school wants them to find

11. Yuki

the solution of y is implicit and I find that a little weird

12. Yuki

so I was wondering if anyone could figure out what is really going on

13. amistre64

not without further information about the problem...

14. amistre64

guessing is the best you could hope for..

15. Yuki

okay... well thanks for trying guys. I'll give you medals for that.

16. anonymous

Umm I have the same problem in my course book. What they want you to do is differentiate y and x with respect to t and then divide both the equations so you end up with $dy/dx$