1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Angle between catenary and line

  1. Apr 27, 2008 #1
    1. The problem statement, all variables and given/known data
    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?

  2. jcsd
  3. Apr 27, 2008 #2


    User Avatar
    Science Advisor

    If you "aren't meant to use a calculator" then give, as your answer,
    There is no simple way to calculate a numerical solution.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook