- #1
Shackleford
- 1,656
- 2
1. Compute the curvature.
[itex]α(t) = (cos^3t, sin^3t)[/itex]
This is not a unit-speed curve. I want to use [itex]κ(t) = \frac{||T'(t)||}{||σ'(t)||}[/itex]
When I find [itex]α'(t)[/itex] and then its norm, I run into an impasse. Am I supposed to use a trig identity?
[itex]α(t) = (cos^3t, sin^3t)[/itex]
This is not a unit-speed curve. I want to use [itex]κ(t) = \frac{||T'(t)||}{||σ'(t)||}[/itex]
When I find [itex]α'(t)[/itex] and then its norm, I run into an impasse. Am I supposed to use a trig identity?