Analysis A Worksheet 06-01
Precalculus A Worksheet 10-04 Name _____________________
Basic Polar Review
Section 9.2 Date _________ Period ______
Please fill in the blank for the following questions.
1) In polar coordinates, the origin is called the ______ and the positive x-axis is called the ______ _____.
2) Another representation in polar coordinates for the point [pic] is [pic].
3) The polar coordinates [pic] are represented in rectangular coordinates by [pic].
Please determine if the following questions are True or False.
4) The polar coordinates of a point are unique. True / False
5) The rectangular coordinates of a point are unique. True / False
6) In [pic], the number r can be negative. True / False
Match each of the following polar coordinates with either A, B, C, or D as plotted on the graph below.
7) [pic] 8) [pic] 9) [pic]
10) [pic] 11) [pic] 12) [pic]
Plot each point given in polar coordinates, and find other polar coordinates [pic], of the point for which . . .
a) [pic] b) [pic] c) [pic]
13) [pic] 14) [pic] 15) [pic]
Given the polar coordinates of each of the following points, find its rectangular coordinates.
16) [pic] 17) [pic] 18) [pic]
Given the rectangular coordinates of each of the following points, find its polar coordinates such that [pic] and [pic].
19) [pic] 20) [pic] 21) [pic]
The letters x and y represent rectangular coordinates. Rewrite each of the following equations using polar coordinates [pic].
22) [pic] 23) [pic]
The letters r and [pic] represent polar coordinates. Rewrite each of the following equations using rectangular coordinates [pic].
24) [pic] 25) [pic]
Without using a calculator, restate each of the following polar equations using rectangular coordinates and then graph the equation.
26) [pic] 27) [pic] 28) [pic] 29) [pic]
30) [pic] 31) [pic] 32) [pic] 33)
Without using a calculator, match each of the following graphs to one of the polar equations by writing the equation number in the upper left-hand corner of the appropriate graph.
34) [pic] 35) [pic] 36) [pic]
37) [pic] 38) [pic] 39) [pic]
Precalculus A Worksheet 10-04 Answer Key
Basic Polar Review
Section 9.2
Please fill in the blank for the following questions.
1) In polar coordinates, the origin is called the ______ and the positive x-axis is called the ______ _____.
2) Another representation in polar coordinates for the point [pic] is [pic].
3) The polar coordinates [pic] are represented in rectangular coordinates by [pic].
Please determine if the following questions are True or False.
4) The polar coordinates of a point are unique. True / False
5) The rectangular coordinates of a point are unique. True / False
6) In [pic], the number r can be negative. True / False
Match each of the following polar coordinates with either A, B, C, or D as plotted on the graph below.
7) [pic] 8) [pic] 9) [pic]
10) [pic] 11) [pic] 12) [pic]
Plot each point given in polar coordinates, and find other polar coordinates [pic], of the point for which . . .
a) [pic] b) [pic] c) [pic]
13) [pic] 14) [pic] 15) [pic]
Given the polar coordinates of each of the following points, find its rectangular coordinates.
16) [pic] 17) [pic] 18) [pic]
Given the rectangular coordinates of each of the following points, find its polar coordinates such that [pic] and [pic].
19) [pic] 20) [pic] 21) [pic]
The letters x and y represent rectangular coordinates. Rewrite each of the following equations using polar coordinates [pic].
22) [pic] 23) [pic]
The letters r and [pic] represent polar coordinates. Rewrite each of the following equations using rectangular coordinates [pic].
24) [pic] 25) [pic]
Without using a calculator, restate each of the following polar equations using rectangular coordinates and then graph the equation.
26) [pic] 27) [pic] 28) [pic] 29) [pic]
30) [pic] 31) [pic] 32) [pic] 33)
Without using a calculator, match each of the following graphs to one of the polar equations by writing the equation number in the upper left-hand corner of the appropriate graph.
34) [pic] 35) [pic] 36) [pic]
37) [pic] 38) [pic] 39) [pic]
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