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).
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).
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(?).
Transcribed Image Text: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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