The parametric equations for the motion of a charged particle released from rest in electric and magnetic fields at right angles to each other take the forms x = a (0 – sin 0).y = a (1 – cos 0). Show that the tangent to the curve has slope cot (). Use this result at a few calculated values of x and y to sketch the form of the particle's trajectory.

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 35E
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Parametric Differentiation
The parametric equations for the motion of a charged particle released from rest in electric and magnetic fields at right angles to each other take
the forms x = a (0 – sin 0),y = a (1 – cos 0). Show that the tangent to the curve has slope cot (). Use this result at a few calculated values of x and
y to sketch the form of the particle's trajectory.
Transcribed Image Text:Parametric Differentiation The parametric equations for the motion of a charged particle released from rest in electric and magnetic fields at right angles to each other take the forms x = a (0 – sin 0),y = a (1 – cos 0). Show that the tangent to the curve has slope cot (). Use this result at a few calculated values of x and y to sketch the form of the particle's trajectory.
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