PLEASE PLEASE PLEASE HELP, I have one last try left. By the relation between the polar and Cartesian coordinate systems, x = r cos(?). Substituting for r from the equation of the given curve, x = ( ??? )cos(?) = sin2(?). Show that the curve r = sin(0) tan (0) (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 = 1r tooO lim x = 1rtooOlim X = 0r-tooO lim x = 1r ±0O lim x = 00rtlBy the relation between the polar and Cartesian coordinate systems, x = r cos(0). Substituting for r from the equation of the given curve, x =cos (8) = sin²(e).

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Answered: Show that the curve r= sin(0) tan()…

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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PLEASE PLEASE PLEASE HELP, I have one last try left.

By the relation between the polar and Cartesian coordinate systems, x = r cos(?). Substituting for r from the equation of the given curve, x = ( ??? )cos(?) = sin²(?).

Show that the curve r = sin(0) tan (0) (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 too
O lim x = 1
rtoo
Olim X = 0
r-too
O lim x = 1
r ±0
O lim x = 00
rtl
By the relation between the polar and Cartesian coordinate systems, x = r cos(0). Substituting for r from the equation of the given curve, x =
cos (8) = sin²(e).

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

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