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!

Average rate of change of the area of the triangle?

  1. Jul 1, 2016 #1
    1. The problem statement, all variables and given/known data
    An object is moving around the unit circle with parametric equations x(t)=cos(t), y(t)=sin(t), so it's location at time t is P(t)=(cos(t),sin(t)) . Assume 0 < t < π/2. At a given time t, the tangent line to the unit circle at the position P(t) will determine a right triangle in the first quadrant. (Connect the origin with the y-intercept and x-intercept of the tangent line.)

    The average rate of change of the area of the triangle on the time interval [π/6,π/4] is

    2. Relevant equations
    a(t) = 1/sin2t

    3. The attempt at a solution
    I tried plugging in the π/6 once and π/4, added them together and divided by 2, but I got the wrong answer!
  2. jcsd
  3. Jul 1, 2016 #2

    Ray Vickson

    User Avatar
    Science Advisor
    Homework Helper

    Show your work.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted

Similar Discussions: Average rate of change of the area of the triangle?