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## Homework Statement

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 <*. At a given time

*π*/2*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

## Homework Equations

a(t) = 1/sin2t

## 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! [/B]