Chapter 13 - Vector Functions - 13.1 Vector Functions and Space Curves - 13.1 Exercises - Page 894: 10

The curve is an Helix winding around the \(y\)-axis.

\[ x(t)=\sin(\pi t) \\ y(t)=\cos(\pi t) \] Describe an circle oriented on the \(xy\)-plane. When we set \(y(t)=t\) it becomes an Helix that goes towards the \(y\)-axis.