Different Representation of Curves – Switch from parametric to Cartesian – Exercise 3748

Exercise

Given the vector function in parameter representation (with parameters t and a)

$\vec{r}(t)=a(t-\sin t)\vec{i}+a(1-\cos t)\vec{j}$

$a>0$

The range of parameter t is

$-\infty< t<\infty$

Present the curve in the Cartesian presentation and describe the curve graph.

Final Answer

$x(t)=a(t-\sin t)$

$y(t)=a(1-\cos t)$

Solution

Coming soon…

Share with Friends