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True or False: The polar coordinates of a point are unique?

Updated: 4/22/2021
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anon

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3y ago

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False

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Q: True or False: The polar coordinates of a point are unique?
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true or false the value of theta represents the distance from a point to the pole when plotting a point in polar coordinates?

False


True or False; The value r represents the reference angle when plotting a point in polar coordinates?

False


What are 2 polar coordinates for the point 2 0?

The point whose Cartesian coordinates are (2, 0) has the polar coordinates R = 2, Θ = 0 .


What are 2 polar coordinates for the point -3 -3?

The point whose Cartesian coordinates are (-3, -3) has the polar coordinates R = 3 sqrt(2), Θ = -0.75pi.


How do you convert polar to rectangular coordinates?

If the polar coordinates of a point P are (r,a) then the rectangular coordinates of P are x = rcos(a) and y = rsin(a).


True or false: When its argument is restricted to (0,2pi), the polar form of a complex number is not unique?

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In mathematics in polar coordinates what is the polar coordinates for the point pp on a line makes an angle with the initial line?

the radius vector; and the vectorial angle the radius vector; and the vectorial angle


Do rectangular coordinates have the same property as polar coordinates?

Some of them but not all. For example, uniqueness. The rectangular coordinates (x, y) represent a different point if either x or y is changed. This is also true for polar coordinate (r, a) but only if r > 0. For r = 0 the coordinates represent the same point, whatever a is. Thus (x, y) has a 1-to-1 mapping onto the plane but the polar coordinates don't.


True or False: One advantage of polar equations is that you can use a polar function to describe a graph whose equation in rectangular coordinates would not be considered a function?

True


What are absolute relative and polar coordinates?

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What is used to locate point in the plane?

Coordinates. These may be Cartesian - ie distance from the origin in mutually perpendicular (orthogonal) directions. Or they may be polar. Polar coordinates consists of the length of the line joining the point to the origin together with the angles that the line makes with the various principal planes (or hyperplanes).


What are the types of coordinate system?

There are two main types: Cartesian coordinates and Polar coordinates.In n-dimensional Cartesian coordinates there are n axes which are [usually] orthogonal and which meet at a single point called the origin. The coordinates of any point in the n-space are defined by the ordered n-tuple whose terms refer to the distances of the point, from the origin, along each of the axes.In n-dimensional Polar coordinates, the point is located using its distance from the origin and the angles that this radial line makes with specified lines and planes.