HP 49g+ User Manual Page 49

Graphing calculator.

The coordinate system selection affects the way vectors and complex numbers
are displayed and entered. To learn more about complex numbers and
vectors, see Chapters 4 and 9, respectively.
Two- and three-dimensional vector components and complex numbers can be
represented in any of 3 coordinate systems: The Cartesian (2 dimensional) or
Rectangular (3 dimensional), Cylindrical (3 dimensional) or Polar (2
dimensional), and Spherical (only 3 dimensional).
Rectangular coordinate system a point P will have three linear coordinates
(x,y,z) measured from the origin along each of three mutually perpendicular
axes (in 2 d mode, z is assumed to be 0).
coordinate system the coordinates of a point are given by (r,θ,z), where r is a
radial distance measured from the origin on the xy plane, θ is the angle that
the radial distance r forms with the positive x axis -- measured as positive in a
counterclockwise direction --, and z is the same as the z coordinate in a
Cartesian system (in 2 d mode, z is assumed to be 0).
Polar systems are related by the following quantities:
x
r
y
r
In a Spherical coordinate system the coordinates of a point are given by
(ρ,θ,φ) where ρ is a radial distance measured from the origin of a Cartesian
system, θ is an angle representing the angle formed by the projection of the
linear distance ρ onto the xy axis (same as θ in Polar coordinates), and φ is
the angle from the positive z axis to the radial distance ρ. The Rectangular
and Spherical coordinate systems are related by the following quantities:
x
ρ
sin(
φ
y
ρ
sin(
z
ρ
cos(
To change the coordinate system in your calculator, follow these steps:
cos(
θ
)
r
sin(
θ
)
θ
z =
z
)
cos(
θ
)
ρ
φ
)
sin(
θ
)
θ
φ
)
φ
In a Cartesian or
In a Cylindrical or Polar
The Rectangular and
2
2
x
y
y
1
tan
x
2
2
2
x
y
z
y
1
tan
x
2
2
x
y
1
tan
z
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