In the figure, the circle of radius a is stationary, and for every 6, the point P is the midpoint of the segment QR. The curve traced out by P for 0 << is called the longbow curve. Find parametric equations for this curve. (x(t), y(t))= | a(sin(0) cos(0) + cot(0)).a(1+ + sin²(0)) ×) y 2a R y= 2a P

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 33E
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In the figure, the circle of radius a is stationary, and for every 6, the point P is the midpoint of the segment QR. The curve traced out by P for 0 << is called the longbow curve. Find parametric equations for
this curve.
(x(t), y(t)) = ( a(sin(0) cos(0) + cot (0)),a (1 + sin² (0)) ×)
2a
a+
0
R
y= 2a
Transcribed Image Text:In the figure, the circle of radius a is stationary, and for every 6, the point P is the midpoint of the segment QR. The curve traced out by P for 0 << is called the longbow curve. Find parametric equations for this curve. (x(t), y(t)) = ( a(sin(0) cos(0) + cot (0)),a (1 + sin² (0)) ×) 2a a+ 0 R y= 2a
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