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…

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

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