College Trigonometry, 2011a

11.5 Graphs of Polar Equations 965
13. Limaçon: r =1− 2 cos(θ)
y
3
θ = π 3
14. Limaçon: r =1− 2sin(θ)
y
3
1
θ = 5π 6
1
θ = π 6
−3 −1 1 3
−1
x
−3 −1 1 3
−1
x
−3
θ = 5π 3
−3
15. Limaçon: r =2 √ 3 + 4 cos(θ)
y
2 √ 3+4
θ = 5π 2 √ 6 3
−2 √ 3 − 4 2 √ 3+4
θ = −2 √ 7π 3
6
−2 √ 3 − 4
x
16. Limaçon: r =3− 5 cos(θ)
y
8
3
−8 −2 8
−3
−8
( )
θ = arccos 35
x
( )
θ =2π − arccos 35
17. Limaçon: r =3− 5sin(θ)
y
( )
θ = π − arcsin 35
8
( )
θ =arcsin 35
18. Limaçon: r =2+7sin(θ)
y
9
5
−8 −3 3 8
−2
x
−9 −2 2 9
( )
( )
θ = π +arcsin 27 θ =2π − arcsin 27
x
−8
−9