Polar Coordinates And Complex Numbers Worksheets With Answers - Math 611b Page 10
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50SCO: By the end of grade
Elaborations - Instructional Strategies/Suggestions
12, students will be
Polar and Rectangular Coordinates (9.3)
expected to:
A27 translate between
The trigonometric definitions:
polar and rectangular
coordinates
x
θ
θ
=
⇒
=
cos
x
r
cos
r
y
θ
θ
=
⇒
=
sin
y
r
sin
r
can be used to convert from polar to rectangular coordinates.
To convert from rectangular to polar coordinates use:
=
+
2
2
r
x
y
y
y
−
θ
θ
=
⇒
=
1
tan
tan
x
x
y
y
−1
tan
is
arctan
Another way of expressing
x
x
Note: At the end of the unit is an explanation of how to use the TI-83 for
converting degrees to radians and vice versa. As well, the explanation
shows how to convert from polar coordinates to rectangular coordinates
and vice versa (p.38).
10
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