Discuss the relationship of between the polar and Cartesian coordinates with an example to convert each one to another ?

Q: A point in polar coordinates is given. Convert the point to rectangular coordinates. Round your…

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Q: For each pair of rectangular coordinates, (a) plot the point and (b) give two pairs of polar…

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Q: Match the polar equation with the graphs labeled I-VI. Use the table to help you. = sin(30)…

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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: For each pair of rectangular coordinates, (a) plot the point and (b) give two pairs of polar…

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Q: Find all values of a and b such that (a, b) represents the same point whether it is given in…

A: In rectangular coordinate system, points are identified by their distance…

Q: Write three other polar coordinates with the same Cartesian coordinates as the polar point…

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Q: Give three points that are equivalent to the polar point (5, 315°). Write the three points in polar…

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Q: Convert the polar equation to a rectangular equation. 2 sin 20 = 4 %3D

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Q: What can be done to the negative sign of the magnitude in polar form?

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Q: Convert the polar equation to a rectangular equation. Begin by multiplying both sides of the…

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Q: What are polar coordinates? What equations relate polar coordi-nates to Cartesian coordinates? Why…

A: Consider an origin as O and an initial ray from the origin. The positive x-axis is usually…

Q: Suppose a point has polar coordinates 3, 3 with the angle measured in radians.

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

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Q: polar equations represents a cardiod or heart-shaped

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Q: (a) Rectangular coordinates of a point (x, y) may be recovered from its polar coordinates (r,θ)by…

A: We know, Polar coordinate (r,θ) and rectangular coordinate (x,y) are related as follows:…

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

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Q: Given the point (-5, *) in polar coordinates, what are the Cartesian coordinates of the point?…

A: Given polar coordinate is : -5, 5π3 To convert the given polar coordinate to cartesian coordinate

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: What equations relate polar coordinates to Cartesian coordinates?

A: We have to write the equation which relate the polar coordinates to the Cartesian coordinates. We…

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. (3, )

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Q: Which polar equation is represented by the figure?*

A: Solution :- this graph is  r=a sin(2theta)

Q: Determine two pairs of polar coordinates for the point with 0°\< theta < 360: (3,-

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Q: What equations would you use to find the polar coordinates of a point if you knew the Cartesian…

A: We know that, in polar coordinates system

Q: Find two pairs of polar coordinates for the point (−3, −7)r, one with positive r and one with…

A: Given the cartesian coordinates (x, y)

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: A point is given in polar coordinates. Convert the point to rectangular coordinates. (s, 3) Зл (х,…

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Q: Convert polar equation r=cos3 θ to cartesian equation

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

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Q: Consider the point 4, 3 in polar coordinates.

A: See attached file for a step by step explanation.

Q: What consequence does the lack of uniqueness of polar coordinates have for graphing? Give an…

A: To find the importance of uniqueness to polar coordinates

Q: There are many ways to express an ordered pair using polar coordinates. What is is not an accurate…

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Q: 4) Compare your answers of the previous questions, do a comparison summary about polar coordinate,…

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Q: The rectangular coordinates of a point are given (0, -6). Find polar coordinates of the point.…

A: Given: 0,-6

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

A: Polar coordinates are denoted by (r,θ). Cartesian coordinates are denoted by (x,y). Relation between…

Q: When given a point in polar coordinates, there is only one possible set of Cartesian coordinates…

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Q: When converting a point from polar coordinates to rectangular coordinates, there are infinitely many…

A: we know that when we convert a point form polar coordinates to rectangular coordinates, there is…

Q: A point is graphed in polar form. Find its rectangular coordinates.

A: Coordinate of S in Polar form,2, 5π6⇒ x = 2 cos 5π6 = -3     y = 2 sin 5π6 = 1

Q: Given the point (-10, ) in polar coordinates, what are the Cartesian coordinates of the point?…

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Q: The polar coordinate system consists of a point, called the _____, and a ray extend-ing out from it,…

A: To determine: The missing word in the sentence, " The polar coordinate system consists of a point,…

Q: What are the rectangular coordinates of the polar coordinates (3/2,- )? Enter your answer in the…

A: To find- Rectangular coordinates( x , y ).

Q: consider the point (-3,-3) in rectangular coordinates.  give 2 different ways to represent the…

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

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Q: Which of the following is a set of polar coordinates for the point whose rectangular coordinates are…

A: We need to find the polar coordinates of (4,-4√3).

Q: Transform the polar equation to an equation in rectangular coordinatesrsinθ=6

A: To convert polar equation to rectangular coordinates equation.