CunNe L TREUvaer ed pair in to rectanqular coordinat 77 (5. 5,

Q: Convert the points (r, θ ) = (1, π/6), (3, 5π/4) from polar to rectangular coordinates.

A: Consider the given: r,θ=1,π6So, In rectangular coordinates:x,y=rcosθ,rsinθx,y=1cosπ6,1sinπ6x,y=32,12…

Q: Define a polar equation.

A: A polar equation is any equation that describes a relation between r and θ, where r represents the…

Q: 2. Convert ( 4, from polar to rectangular coordinates. 3

A:

Q: To plot points in polar coordinates, we use a grid consisting of ________ centered at the pole and…

A: A rectangular grid is useful to plot points in rectangular coordinates. A grid consisting of circles…

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

A:

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

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Q: Convert the polar equation to recta e = . %3D

A:

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: Consider the point ( 4v2, ) 57 in polar coordinates. What are the corresponding rectangular 4…

A:

Q: Determine which point in the figure, P, Q, R, or S, has the given polar coordinates. -4, ---Select-v…

A: This question can be solved using the concept of polar coordinates.

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 the rectangular coordinates (5,-5√3) to polar form. Letr> 0and 0 <0<2TT.

A:

Q: Define Polar Coordinates?

A: Polar coordinates are used to locate the point in the plane.

Q: Convert to polar coordinates with rzo and o° se < 360°. (-2, 2) (r, 8) =

A:

Q: Find 3 different pairs of polar coordinates that describe the same point. 7) (3, 30°) 8) 4, 4

A: we have to find 3 different pairs of polar coordinates that descibes the same point. 7)  3,30° 8)…

Q: The rectangular coordinates for the polar points (4, 2 is (0, —4) о (4, 0) o (-4, 0) o (0, 4) o

A:

Q: Ма Find the polar coordinates of the point whose rectangular coordinates are (-V3,3) and then show…

A: The given coordinate is  (x, y) = (-3,3)

Q: Give polar coordinates for the points (given in Cartesian co-ordinates) (1, -V3), and (-1, v3)

A:

Q: The polar coordinates of a point are unique. True. False.

A: Each point has a specific polar coordinate, which is combination of its distance from origin and…

Q: The location of the polar coordinates (2, -TT/3) is in the second quarter of the x-y axis. O True O…

A:

Q: 23) convertthe Polar Coordinate (3,315) to rectaugular coondinate

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Q: express the cartesian coordinates (-4,-4) in polar coordinates in at least 2 different ways

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Q: 8. Convert the point ( ) from Cartesian to Polar a) (1,) c) a.) b) G d) (L,프)

A: Given query is to find the polar coordinates of the point.

Q: convert the rectangular point (-1, -sqroot3) to polar, where r is greater than or equal to 0 and 0…

A: We know that polar form of a rectangular point x,y is r,θ=x2+y2,tan-1yx. We have, Rectangular point…

Q: Express the Cartesian coordinates (-3/3,-3) in polar coordinates in at least two different ways.

A:

Q: Give four different pairs of coordinates for the point shown on the polar grid

A: The solution is :

Q: is The rectangular coordinates for the polar points 4, 2

A:

Q: Convert the following polar curves into Cartesian r=2/(4-cos theta)

A: We know that--&gt; r2 = x2 + y2  x = rcosθ y = rsinθ

Q: The rectangular coordinates for the polar points [4, is 2 o (-4, 0) (0, 4) o (0, -4) o (4, 0)

A: We have to find

Q: Locate the coordinates on the polar plane

A: Given, the points are              A2, 7π4, B-3, 5π6, C4, -π2, and D-1, -π

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

A: Given, (3, 5π/4)

Q: Convert to polar coordinates with'20 and e between 0° and 360°. (2/3, - 2)

A:

Q: Convert the ordered pair inrectanqular Coordinates to polar coordinates withr>o and ee [0,27),…

A: We will use the formulas:

Q: 1. Convert the Cartesian coordinate (12,5) to polarcoordinate.

A: Given the cartesian co-ordinate(x,y)=(12,5)

Q: (-5, Sm) 2 (х, у) 3D

A:

Q: Find a polar coordinate (in the form (r, theta)) with a negative value for r that describes the…

A: Answer

Q: Express the polar coordinates (V2, -) as Cartesian coordinates. O (-2, -2) O (-1, -1)

A:

Q: 5) (2,0°) -3 (4) 7) 4 ---22 -1 2 + 21 -1 D | x

A: We know that if r, θ is the polar coordinates then the rectangular coordinates is r cos θ, r sin θ.

Q: Describe the test for symmetry with respect to the polar axis.

A: The graph of a polar equation is symmetric with respect to the polar axis if replacing r, θ with r,…

Q: Plot the given polar point and list 3 more equivalent points. 1) (4,

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Q: Discuss the relationship of between the polar and Cartesian coordinates with an example to convert…

A: Solution is given below:

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

A:

Q: Give polar coordinates for the points (given in Cartesian CO-ordinates) (1, -V3), and (-1, v3)

A: First, we have x,y=1,-3 The polar coordinate of a complex number is ρ,θ Now,  ρ=x2+y2 Therefore,…

Q: Determine which point in the figure, P, Q, R, or S, has the given polar coordinates. (-4, 57)…

A: We know that in polar co-ordinate system, any point can be represented as (r,θ), where r is polar…

Q: Qz: sketeh in polar %3D

A:

Q: Convert the rectangular coordinates (2, −2) to polar coordinates and find threeadditional polar…

A: Given: rectangular coordinates (2, −2)

Q: Convert the point (2, a/3) from polar to Cartesian coordinates.

A: