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for whatever point (x, y):
r= sqrt( x2+ y2 ) from pythagorean theorem.
basic trig function since the x and y axes are perpendicular to each other:
tan theta = y/x (opposite over adjacent)
theta = tan-1 (y/x)
(r, theta) ----> ( sqrt( x2+ y2 ), tan-1 (y/x) )
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Why graph on the Cartesian coordinate system?
You do not have to. You could use polar coordinates, if you prefer.
What is the first number in an orderd pair called?
The abscissa in Cartesian coordinates. In polar coordinates, it would be the radius .or domain
What is another representation of the polar coordinate (8-45)?
53
X squared plus y squared equals 2y.change into polar equation?
x2+y2=2y into polar coordinates When converting Cartesian coordinates to polar coordinates, three standard converstion factors must be memorized: r2=x2+y2 r*cos(theta)=x r*sin(theta)=y From these conversions, you can easily get the above Cartesian equation into polar coordinates: r2=2rsin(theta), which reduces down (by dividing out 1 r on both sides) to: r=2sin(theta)
What is the second number in a order pair?
If cartesian coordinates are used then the second number in an ordered pair is the y coordinate, also known as the ordinate. If polar coordinates are used then the second number is the angle.
What is the need for conversion of polar coordinate to Cartesian coordinate?
Some problems are easier to solve using polar coordinates, others using Cartesian coordinates.
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.
Why graph on the Cartesian coordinate system?
You do not have to. You could use polar coordinates, if you prefer.
What is the first number in an orderd pair called?
The abscissa in Cartesian coordinates. In polar coordinates, it would be the radius .or domain
Write a c program to convert from cartesian to polar coordinates?
the equation that convert from cartesian to polar coordinates and vice versa r = sqrt (x*x+y*y); phi = atan2 (y, x); x = r*cos (phi); y = r*sin (phi);
Disadvantages of drawing a circle using polar coordinates method?
Polar Co-ordinates are non-Cartesian co-ordinates. Since most of the Graphics Package do not support non-Cartesian co-ordinates,Polar co-ordinates should be converted to Cartesian form.
What is another representation of the polar coordinate (8-45)?
53
X squared plus y squared equals 2y.change into polar equation?
x2+y2=2y into polar coordinates When converting Cartesian coordinates to polar coordinates, three standard converstion factors must be memorized: r2=x2+y2 r*cos(theta)=x r*sin(theta)=y From these conversions, you can easily get the above Cartesian equation into polar coordinates: r2=2rsin(theta), which reduces down (by dividing out 1 r on both sides) to: r=2sin(theta)
How do you convert a complex number from polar form into rectangular form?
If the polar coordinates of a complex number are (r,a) where r is the distance from the origin and a the angle made with the x axis, then the cartesian coordinates of the point are: x = r*cos(a) and y = r*sin(a)
What is the second number in a order pair?
If cartesian coordinates are used then the second number in an ordered pair is the y coordinate, also known as the ordinate. If polar coordinates are used then the second number is the angle.
How do you find the direction of the vector?
I suspect the question arises from confusion. A vector itself already defines a direction, usually in the Cartesian xyz coordinate system. If you want to express the direction in other coordinates, such as polar or spherical coordinates you need to transform the vector to these coordinate systems. I can answer you question more fully if you can specify the specific coordinate system in which you want to know the direction.
