Prove: If a signal (in the form of a light, sound, or other type of wave) has its source at one focus of an ellipse and meets a point on that ellipse, it will reflect off of the ellipse and pass through the other focus.Need to show the angle between PF1 & tangent line at P is equal to the angle between PF2 & tangent line at P.
Prove: If a signal (in the form of a light, sound, or other type of wave) has its source at one focus of an ellipse and meets a point on that ellipse, it will reflect off of the ellipse and pass through the other focus.Need to show the angle between PF1 & tangent line at P is equal to the angle between PF2 & tangent line at P.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 21E
Question
Prove: If a signal (in the form of a light, sound, or other type of wave) has its source at one focus of an ellipse and meets a point on that ellipse, it will reflect off of the ellipse and pass through the other focus.Need to show the angle between PF1 & tangent line at P is equal to the angle between PF2 & tangent line at P.
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