College Trigonometry, 2011a

970 Applications of Trigonometry
31. {(r, θ) | 0 ≤ r ≤ 3, 0 ≤ θ ≤ 2π}
y
3
2
1
32. {(r, θ) | 0 ≤ r ≤ 4sin(θ), 0 ≤ θ ≤ π}
y
4
3
2
1
−3 −2 −1 1 2 3
−1
x
−4 −3 −2 −1 1 2 3 4
−1
x
−2
−2
−3
−3
−4
33. { (r, θ) | 0 ≤ r ≤ 3 cos(θ), − π 2 ≤ θ ≤ π }
2
y
3
2
1
34. { (r, θ) | 0 ≤ r ≤ 2sin(2θ), 0 ≤ θ ≤ π }
2
y
2
−3 −2 −1 1 2 3
−1
x
−2 2
x
−2
−3
−2
35. { (r, θ) | 0 ≤ r ≤ 4cos(2θ), − π 4 ≤ θ ≤ π }
4
y
4
36. { (r, θ) | 1 ≤ r ≤ 1 − 2 cos(θ), π 2 ≤ θ ≤ 3π }
2
y
3
1
−4 4
x
−3 −1 1 3
−1
x
−4
−3