1. Not finding help here? Sign up for a free 30min 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!

Prove that (cscx - cotx)^2 = (1-cosx)/(1+cosx)

  1. Feb 10, 2009 #1
    1. The problem statement, all variables and given/known data

    I can't seem to figure out how to prove that (cscx - cotx)^2 = (1-cosx)/(1+cosx).

    2. Relevant equations

    I believe I just need to do appropriate substitution using compound angle formulas, double angle formulas, etc...

    3. The attempt at a solution

    I got as far as this

    1 + cot^2x - 2(1/tanx)(1/sinx) + cot^2x = (1-cosx)/(1+cosx)

    Can anyone help me figure this out? Thanks in advance!!
  2. jcsd
  3. Feb 10, 2009 #2


    User Avatar
    Science Advisor
    Homework Helper

    It's not that complicated. Turn everything into sin's and cos's. The denominator is sin(x)^2. That's (1-cos^2(x)). Factor it.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Prove that (cscx - cotx)^2 = (1-cosx)/(1+cosx)
  1. Integral of root(1-cosx) (Replies: 11)

  2. Integral of 1/(cosx-1) (Replies: 2)