# HP F2226A - 48GII Graphic Calculator User Manual Page 52

Graphing calculator.

The coordinate system selection affects the way vectors and complex numbers
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(
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
Page 1-23