Agnesi's witch is a curve with parametric equations x = 4 cot θ, y = 4 sin2 θ -π/2 ≤ θ ≤ π/2. a) Plot the curve described by the given parametric equations. b) Calculate the arc length in the interval π/4 ≤ θ ≤ π/2.

Agnesi's witch is a curve with parametric equations x = 4 cot θ, y = 4 sin2 θ -π/2 ≤ θ ≤ π/2. a) Plot the curve described by the given parametric equations. b) Calculate the arc length in the interval π/4 ≤ θ ≤ π/2.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.6: Parametric Equations

Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...

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Agnesi's witch is a curve with parametric equations x = 4 cot θ, y = 4 sin² θ -π/2 ≤ θ ≤ π/2.

a) Plot the curve described by the given parametric equations.
b) Calculate the arc length in the interval π/4 ≤ θ ≤ π/2.

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