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!

Aproximation arccos(1/4)

  1. Jan 25, 2009 #1
    how to aproximate arccos(1/4) by hand?
     
  2. jcsd
  3. Jan 25, 2009 #2
    Well the Taylor Series for arccos(x) begins as pi/2 - x - x^3/6, since (1/4)^3/6 = .003 this is a pretty good approximation:

    [tex]arccos(1/4) \approx \pi/2 - x - x^{3}/3 \approx 1.318[/tex]

    knowing that pi/2 is about 1.57 might help too.
     
  4. Jan 25, 2009 #3
    The derivative of f(x) = arccos(x) can be written as a power series (a binomial series). Find this series, integrate both sides, check for convergence, and plug in x = 1/4.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Aproximation arccos(1/4)
  1. Antiderivate arccos (Replies: 2)

  2. 1/4 in the cantor set (Replies: 2)

Loading...