In Exercises 59-74, convert each polar equation to a rectangular equation. Then use a rectangular coordinate system to graph the rectangular equation. 59. r = 8 60. r = 10 61. 0 = 62. 0 = 3 63. r sin 0 = 3 64. r cos 0 = 7 65. r = 4 csc0 66. r = 6 sec 0 67. r = sin 0 68. r = cos 0 69. r = 12 cos 0 70. r = -4 sin 0 71. r = 6 cos 0 + 4 sin 0 72. r= 8 cos 0 + 2 sin e 73. r sin 20 = 2 74. r sin 20 = 4

Q: 5. Convert the polar equation to a rectangular equation. r = -2 sin 0

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Q: Convert the point (3, pi/6) from polar to rectangular to coordinates

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Q: Convert the point (-2,240 values. Give two other ordered pairs in polar coordinates that name the…

A: We have given the point (r, θ) = (−2, 240°)

Q: Find the Cartesian coordinates for the point (6,7) in polar coordinates

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Q: Transform the polar equation to an equation in rectangular coordinatesr=14sinθ

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Q: Convert (4, 2?/3) from polar coordinates to exact and approximate rectangular coordinates.

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Q: Express the Cartesian coordinate (1,3), as a polar coordinate.

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Q: Convert the polar equation to a Cartesian equation. Then use a Cartesian coordinate system to graph…

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Q: In Exercises 50-56, graph each polar equation. Be sure to test for symmetry. 50. r= 3 cos e 51. r =…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: 65 7 4 8 9 10 12, 11 13 14 171 15 16

A: The UCS origin (0, 0), which is the point where the X and Y axes meet, serves as the starting point…

Q: 32. ху — 4

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Q: In Exercises 40–46, convert each polar equation to a rectangular equation. Then use your knowledge…

A: r=3

Q: change from polar to cartesian Corordina tes (3,)

A: We have to change the cordinate

Q: What is a polar equation?

A: Polar equation is an equation that gives the relationship between r and θ, where r is the distance…

Q: Convert from polar coordinates to rectangular (2.5, 17?/ 4 ).

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Q: (45) 21) (Section 9.1) Plot and convert polar point to rectangular coordinates

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Q: In Exercises 28-32, graph each polar equation. Be sure to test for symmetry. 28. r = -4 sin 0 29. r…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 15 One polar coordinate representation for the rectangular point (2, -2) is (-2/7.-) - 3TT 2, 4 TT…

A: Explanation of the answer is as follows

Q: Given polar equation is r = 2- sin 0

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Q: What are the polar equations of the lines parallel to the liner cos (θ − π/3)= 1?

A: rcosθ-π3=1

Q: To test if the graph of a polar equation may be symmetric with respect to the polar axis,replace θ…

A: To test if the graph of a polar equation may be symmetric with respect to the polar axis, replace θ…

Q: (8.1) Convert (0, -2) to polar coordinates.

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Q: Convert the point (4, 225 degree) to rectangular coordinates, and state two other orderedpairs in…

A: Polar r, θ to rectangular coordinate: x=rcosθy=rsinθ

Q: A point is given in polar coordinates. Convert the point to rectangular coordinates. (6,) (х, у) -

A: We will use the formula

Q: Given polar equation is 1+sin 0

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Q: Replace the Cartesian equation with an equivalent polar equation. x2-y2=4 O cos2e - sin20 = 4 O r…

A: 1. x2-y2=42. r2=26r cosθ-6r sinθ-9

Q: Convert the rectangular point (8, 0) in a polar point. Your attached work must show the conversions…

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Q: The point described in rectangular coordinates as (-3,3) is described in polar coordinates as:

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Q: Convert the polar equation = 2 sin(0) into Cartesian and describe this shape.

A: we have to convert the given polar equation into Cartesian equation

Q: Question in Image.

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Q: QI-Replace (x-2) y-4 to equivalent polar coordinate and sketch ir?

A: Since you have posted multiple question in this question which are not interlinked so I have solved…

Q: 77 to Cartesian 6 Convert the point with polar coordinates 4,

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Q: Given polar equation is r= 1- cos 0

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Q: 11) Convert the point given in polar coordinates to rectangular coordinates: (-2, -).

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Q: Convert the Cartesian coordinate (5,3) to polar coordinates, 0<0< 6. Enter exact value.

A: Here we have to convert cartesian coordinate (5,3) to polar coordinates, 0≤θ≤2π

Q: 47 Convert the polar coordinate (6, - -) to Cartesian coordinates. 3 Enter exact values. y =

A: Solving the problem by finding the Cartesian coordinate from the polar coordinate.

Q: convert (3, 5(Pi)/4) from polar coordinates to exact and approximate rectangular coordinates

A: Given, (3, 5π/4)

Q: A point is given in polar coordinates. Convert the point to rectangular coordinates. (8, ) (х, у) -

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Q: 1. Convert from polar coordinates to rectangular (−3,360°)

A: Note:-  second question is incomplete so we solve question 1 for you please repost other question…

Q: 11. Convert (5, -5) to polar coordinates.

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Q: 7) Convert the coordinate (213,2) to point in' polar Coordinates. polar coordinetes.

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Q: Convert the Cartesian equation y = x2 + 2x into a polar equation (you should be able to simplify…

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Q: Determine whether the statement, "When converting a point from polar coordinates to rectangular…

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Q: 26. х — у? %3D 9

A: The rectangular equation is given in the question is  x2-y2=9

Q: 6 Rewrite the polar equation r = as a Cartesian equation (rectangular) 1 – sin(0)

A: We have the relation between polar coordinates and rectangular coordinates as x=rcosθy=rsinθ

Q: Consider the point (4,1) in polar co-ordinates. What is the sum of its rectangular coordinates?

A: Polar coordinate r, θ to rectangular coordinate x, y: x=rcosθ          ...(1)y=rsinθ…