• Support PF! Buy your school textbooks, materials and every day products Here!

Angle between catenary and line

  • Thread starter flash
  • Start date
68
0
1. Homework Statement
Find the angle between the line x=7 and the catenary [tex]y=20\cosh{(\frac{x}{20})}-15[/tex]

3. The Attempt at a Solution

I found the tangent has gradient [tex]\sinh{(\frac{7}{20})}[/tex]

Then I used [tex]\tan{\theta}=|\frac{1}{m}|[/tex]
where [tex]m=\sinh{(\frac{7}{20})}[/tex]

And evaluated using inverse tan on my calculator.

I'm pretty sure we aren't meant to use a calculator though, so my question is can the inverse tan of that be evaluated manually somehow?

Thanks
 

Answers and Replies

HallsofIvy
Science Advisor
Homework Helper
41,732
893
If you "aren't meant to use a calculator" then give, as your answer,
[tex]tan^{-1}(\frac{1}{sinh(7/20)})[/tex]
There is no simple way to calculate a numerical solution.
 

Related Threads for: Angle between catenary and line

Replies
4
Views
2K
  • Last Post
Replies
1
Views
4K
Replies
3
Views
4K
Replies
6
Views
3K
Top