Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Sketching solids

  1. Nov 9, 2009 #1
    I always have trouble sketching regions and solids.
    For example, if one solid described by the inequialities (in spherical coordinates) where ρ <=2, and ρ <= csc(φ)
    I dont get how to interpret the cosecant part. Thanks.
     
  2. jcsd
  3. Nov 9, 2009 #2
    What surface is described by [itex]\rho = \csc\varphi[/itex]? This is part of the boundary of the region described.
    If you are unfamiliar with the geometry of cosecant, have a look at the picture on the page http://en.wikipedia.org/wiki/Cosecant#Reciprocal_functions and try graphing r = csc(t) in polar coordinates (r, t) first. It is a very simple graph.
     
  4. Nov 9, 2009 #3

    LCKurtz

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Sometimes changing to coordinate system gives insight. Here the surface of the solid is ρ = csc(φ). If r is usual the cylindrical coordinate you have ρ = ρ/r or r = 1. Can you describe the solid given by r ≤ 1 with ρ ≤ 2?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Sketching solids
  1. Sketching functions (Replies: 10)

  2. Derivative sketching (Replies: 7)

  3. Sketching level curves (Replies: 7)

Loading...