Eliminating the Parameter from Helix Equation

  • #1
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?
 

Answers and Replies

  • #2
tnich
Homework Helper
1,048
336
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=## ?
 
  • #3
mathman
Science Advisor
7,901
460
x=sin(z), y=cos(z).
 
  • #4

Related Threads on Eliminating the Parameter from Helix Equation

  • Last Post
Replies
1
Views
11K
  • Last Post
Replies
12
Views
5K
  • Last Post
Replies
8
Views
2K
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
1
Views
9K
  • Last Post
Replies
4
Views
2K
Replies
5
Views
2K
Replies
1
Views
1K
  • Last Post
Replies
1
Views
5K
Top