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Which set of polar coordinates describes the same location as the rectangular coordinates (0,-2) A. (-2,270) B. (2,0) C. (2,180) D. (-2,90)?
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Which set of polar coordinates describes the same location as the rectangular coordinates (1,-1)?
(sqrt2, 315)
Which set of rectangular coordinates describes the same location as the polar coordinates (3sqrt2,5pi/4)?
(-3,-3)
which set of polar coordinates describes the same location as the rectangular coordinates (-5,0)?
(5, pi) or in other words, (5, 180)
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).
The following rectangular coordinates can be expressed by the polar coordinates: (4,pi)?
(-4,0)
The following rectangular coordinates can be expressed in the form of the polar coordinates: (6sqrt2,3pi/4)?
(-6,6)
Why you need more than one coordinate system?
That is because - for example - some calculations are easier in polar coordinates, and some are easier in rectangular coordinates. For example, complex numbers are easier to add and subtract in rectangular coordinates, and easier to multiply and divide in polar coordinates.
What does POL function stand for in a scientific calculator?
The Pol function converts rectangular coordinates to polar coordinates
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.
How complex quantity can be expressed?
Complex quantities are points on a coordinate system; the horizontal axis is called the real numbers, the vertical axis, the imaginary numbers.The point that represents a complex number can be expressed:a) In rectangular coordinates, by specifying both coordinates, for example, 5 + 3ib) In polar coordinates, you specify a distance from the origin, and an angle, for example, 10 (angle symbol) 30 degrees.It turns out that addition and subtraction are easier with rectangular coordinates, whereas multiplication, division, and therefore also powers and roots, are easier with polar coordinates.Complex quantities are points on a coordinate system; the horizontal axis is called the real numbers, the vertical axis, the imaginary numbers.The point that represents a complex number can be expressed:a) In rectangular coordinates, by specifying both coordinates, for example, 5 + 3ib) In polar coordinates, you specify a distance from the origin, and an angle, for example, 10 (angle symbol) 30 degrees.It turns out that addition and subtraction are easier with rectangular coordinates, whereas multiplication, division, and therefore also powers and roots, are easier with polar coordinates.Complex quantities are points on a coordinate system; the horizontal axis is called the real numbers, the vertical axis, the imaginary numbers.The point that represents a complex number can be expressed:a) In rectangular coordinates, by specifying both coordinates, for example, 5 + 3ib) In polar coordinates, you specify a distance from the origin, and an angle, for example, 10 (angle symbol) 30 degrees.It turns out that addition and subtraction are easier with rectangular coordinates, whereas multiplication, division, and therefore also powers and roots, are easier with polar coordinates.Complex quantities are points on a coordinate system; the horizontal axis is called the real numbers, the vertical axis, the imaginary numbers.The point that represents a complex number can be expressed:a) In rectangular coordinates, by specifying both coordinates, for example, 5 + 3ib) In polar coordinates, you specify a distance from the origin, and an angle, for example, 10 (angle symbol) 30 degrees.It turns out that addition and subtraction are easier with rectangular coordinates, whereas multiplication, division, and therefore also powers and roots, are easier with polar coordinates.
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
How do polar coordinates work?
Polar coordinates are another way to write down a location on a two dimensional plane. The first number in a pair of coordinates is the distance one has to travel. The second number in the pair is the angle from the origin.
