Show that the curve r= sin(0) tan() (called a cissoid of Diocles) has the line x = 1 as a vertical asymptote. To show that x = 1 is an asymptote, we must prove which of the following? Olim y = 1 r-to O lim x = 1 r-to O lim x = 0 r-to O lim x = 1 r-10 Olim_ x = 0. r-11 By the relation between the polar and Cartesian coordinate systems, x = r cos(8). Substituting for r from the equation of the given curve, x = cos(e) = sin²(e).
Show that the curve r= sin(0) tan() (called a cissoid of Diocles) has the line x = 1 as a vertical asymptote. To show that x = 1 is an asymptote, we must prove which of the following? Olim y = 1 r-to O lim x = 1 r-to O lim x = 0 r-to O lim x = 1 r-10 Olim_ x = 0. r-11 By the relation between the polar and Cartesian coordinate systems, x = r cos(8). Substituting for r from the equation of the given curve, x = cos(e) = sin²(e).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 44E
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By the relation between the polar and Cartesian
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