Tangent Line on a Parametric Curve

suchgreatheig
Messages
3
Reaction score
0

Homework Statement


A curve is defined parametrically by x=sin3t, y=cos3t, 0≤ t ≤ 2pi. Find the equation of the line tangent to the curve at the point defined by t=2pi/9.


Homework Equations





The Attempt at a Solution


?
 
Physics news on Phys.org
suchgreatheig said:

The Attempt at a Solution


?

Since you need to find the equation of a tangent, what do you need to find this equation?
 
I know that I need a derivative which I got as -3sinst/3cos3t, but I'm stuck from there.
 
suchgreatheig said:
I know that I need a derivative which I got as -3sinst/3cos3t, but I'm stuck from there.

so if dy/dx=-sin(3t)/cos(3t), what is the gradient when t=2π/9 ?
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
View full post »

Similar threads

Calculating work done using line integrals
Replies
2
Views
2K
Can a Function Have Two Different Tangent Lines at the Same Point?
Replies
2
Views
1K
Calculating the Tangent to a Parametric Curve at a Given Point
Replies
3
Views
2K
Show plane curve can be described with graph @ tangent point
Replies
6
Views
2K
Verify Unit length to y-axis from Tractrix Curve
Replies
1
Views
1K
Write the tangent lines to the curve
Replies
1
Views
1K
Quadratics Having a Common Tangent
Replies
1
Views
841
How do I find the tangent to this parametric curve?
Replies
3
Views
3K
Parametric Equations of Tangent Line
Replies
11
Views
3K
Find eqn for "normal" line to the tangent- folium
Replies
6
Views
1K

Hot Threads

Recent Insights

Back
Top