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