Find the parametric equation of y = cos x with max at (3, 5)

[DrummingAtom]

Homework Statement

Find the parametric equation of y = cos x with max at (3, 5)

Homework Equations

The Attempt at a Solution

There aren't any examples of going from y's and x's and turning them into functions of time. They only go from time functions to y and x functions. So I'm pretty lost on this one and the general concept of going from y and x to time functions. Can I make the assumption that at t = 0 the max happens?

Thanks.

 

[flyingpig]

My post probably isn't going to help much, but how could the max of cos(x) be at (3,5)? The amplitude of y = cos(x) is 1...

Why can't you just let x = t and y = cos(t)?

 

[DrummingAtom]

Because there isn't a t value that would satisfy those two equations to meet (3,5). But if I can guess that it could be something like x = cos(t) + 2 and y = t + 4. Who knows..