Exer. 27 – 44: Find an equation in x and y that has the same graph as the polar equation. Use it…
Exer. 27 – 44: Find an equation in x and y that has the same graph as the polar equation. Use it to help sketch the graph in an ru-plane.
4
7 (6, arctan 3 )
27 r cos = 5
28 r sin
= -2
3
8 (10, arccos (- 1 ))
29 r – 6 sin = 0
30 r = 2
31 =
1T/4 58 r = 1 + 2 cos
32 r = 4 sec
59 r = 23 – 2 sin
33 r 2(4 sin2
– 9 cos2
) = 36
60 r = 223 – 4 cos
34 r 2(cos2
+ 4 sin2
) = 16
61 r = 2 – cos
35 r 2 cos 2 = 1
62 r = 5 + 3 sin
36 r 2 sin 2 = 4
63 r = 4 csc
37 r(sin
– 2 cos
) = 6
64 r = -3 sec
38 r(3 cos
39 r(sin
– 4 sin
+ r cos2
) = 12
) = 1
65 r = 8 cos 3
66 r = 2 sin 4
40 r(r sin2
– cos
) = 3
67 r = 3 sin 2
41 r = 8 sin
– 2 cos
68 r = 8 cos 5
2
42 r = 2 cos
43 r = tan
– 4 sin
69 r
70 r 2
= 4 cos 2
= -16 sin 2
(lemniscate)
44 r = 6 cot