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!

Simultaneous Equations

  1. Sep 9, 2005 #1
    Can anyone analytically solve these 2 simultaneous equations for c & d, where a and b are known?

    a = sin(c) * cosh(d)
    b = cos(c) * sinh(d)

    I can eliminate 'c' to get:

    (sinh d)^2 = b^2 + (a^2)*(tanh d)^2

    but this doesn't seem to make life any easier.
     
  2. jcsd
  3. Sep 9, 2005 #2
    Arggghhhh... I've just this second seen how to do it: write (tanh d)^2 as 1/(cosh d)^2 and then (cosh d)^2 as 1 + (sinh d)^2, multiply though by (sinh d)^2, and solve as a quadratic.

    I have an annoying habit of asking for help and then doing it myself a few minutes later... sorry.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Simultaneous Equations
  1. Simultaneous Equations (Replies: 12)

  2. Simultaneous equations (Replies: 8)

  3. Simultaneous Equations (Replies: 21)

  4. Simultaneous equations (Replies: 11)

  5. Simultaneous equations (Replies: 7)

Loading...