Polar Coordinates And Rectangular Coordinates Worksheets
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7Section 9.1 and 9.3 – Polar Coordinates and Rectangular Coordinates
Objectives:
1. To graph polar coordinates.
2. To convert from polar coordinates to rectangular coordinates and vice versa
I.
Polar Coordinate system
A. Read opening p. 466
B. Origin – _________
C. ____________ axis – horizontal ray directed toward the _________ from the _________.
II.
Graphing Polar Coordinates
(
)
θ
A. Ordered Pair –
, r
1. r – ____________
θ
2.
– ________ of ____________
B. Example
π
5
1.
R
2,
6
1 2 3 4 5 6
(
)
S −
°
2.
4, 60
π
− −
3.
T
3,
3
(
)
− °
4.
2.5, 35
C. Multiple representations
(
)
θ
1.
, r
can be represented by ____________ many different polar coordinates.
(
)
2, 45°
2. Example:
III.
Converting
A. Graphically
B. Algebraically
1 2 3 4 5 6
1. Polar to Rectangular
a) x =
b) y =
c) Examples:
π
−
5
(
)
°
−
(1)
A
3, 270
(2)
B
2,
6
2. Rectangular to Polar
r =
2
a)
θ
=
b)
ref
c) Examples
(
)
(
)
−
D − −
(1)
C
2, 4
(2)
1, 3
Homework: p. 557 – 3, 16-28 all, 33-41 odds, and p. 572 – 14-25 all, 47-55 all
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