Undergrad Eliminating the Parameter from Helix Equation

[Eve Litman]

Let's say you have a helix defined parametrically as
r(t) =<sin(t), cos(t), t>

Is it possible to eliminate t and write an equation for this helix just in terms of x, y, and z?

 

[tnich]

Let's say you have a helix defined parametrically as
r(t) =<sin(t), cos(t), t>

Is it possible to eliminate t and write an equation for this helix just in terms of x, y, and z?

How would you express $z$ as a function of $t$?
$z=$ ?

 

[mathman]

x=sin(z), y=cos(z).

 

[Eve Litman]

x=sin(z), y=cos(z).

Thank you!