Math 152 - Lecture Notes # 5 - David Maslanka
POLAR POINTS of VERTICAL and HORIZONTAL TANGENCY
Considerapolarplotoftheequation:r = 3
2 + cosθ
Thepolarcoordinatesofthepointsspecifiedinthefigureare:
P=(2
5,0)
Q=(8
41 9 +,⎟
⎟
⎠
⎞
⎜
⎜
⎝
⎛−
8
3 14
arccos )
≈
(9 . 1 ,o
65 )
R=(4
3,⎟
⎠
⎞
⎜
⎝
⎛−4
3
arccos )≈(4
3,o
139 )
S=( 2
1,π)
T=(4
3,
−
2 π⎟
⎠
⎞
⎜
⎝
⎛−4
3
arccos )
≈
(4
3, o
221 )
U=(8
41 9 +,− 2 π⎟
⎟
⎠
⎞
⎜
⎜
⎝
⎛−
8
3 14
arccos )
≈
(9 . 1 ,o
295 )