Embed Size (px)
DESCRIPTION
10.2 Graphing Polar Equations Day 1. This is a picture of what a polar grid looks like. Notice the “famous angles” are illustrated for us. The concentric circles represent the values of r. Today we will be graphing polar equations using a table of values. - PowerPoint PPT Presentation
Citation preview
10.2 Graphing Polar EquationsDay 1
• This is a picture of what a polar grid looks like.• Notice the “famous angles” are illustrated for us.• The concentric circles represent the values of r.• Today we will be graphing polar equations using a table of values.• Your calculator will be much needed!• (Remember to put your calculator in RADIAN mode and round to
the nearest tenth.)• If your calculator says
• “1.2E–12” or something like it, it means 0• “Domain error,” it means undefined.
θ r
0
EX 1: 6cosr
6
4
3
2
23
43
53
34
54
74
56
76
116
2
32
65.24.230
–3–4.2
–4.2
4.2
–5.2
5.2
–5.2
03
–3
–6
6
Split class into 4 groupsto enter into calculator
these points are on top of other points!
θ r
0
EX 2: , for 0r
6
4
3
2
23
43
53
34
54
74
56
76
116
2
32
00.50.81.01.62.12.4
3.9
5.5
2.6
5.8
3.7
4.75.2
4.2
3.1
6.3
θ r
0
EX 2: , for 0r
6
4
3
2
23
43
53
34
54
74
56
76
116
2
32
00.50.81.01.62.12.4
3.9
5.5
2.6
5.8
3.7
4.75.2
4.2
3.1
6.3
θ r
0
EX 3: 2 4cosr
6
4
3
2
23
43
53
34
54
74
56
76
116
2
32
65.54.8420
–0.8
–0.8
4.8
–1.5
5.5
–1.5
24
0
–2
6
Split class into 4 groupsto enter into calculator
θ r
0
EX 3: 2 4cosr
6
4
3
2
23
43
53
34
54
74
56
76
116
2
32
65.54.8420
–0.8
–0.8
4.8
–1.5
5.5
–1.5
24
0
–2
6
Split class into 4 groupsto enter into calculator
θ r
0 23
3.43.74
3.73.4321
0.60.30
0.30.612
EX 4: 2 2sinr
6
4
3
2
23
43
53
34
54
74
56
76
116
2
32
θ r
0 23
3.43.74
3.73.4321
0.60.30
0.30.612
EX 4: 2 2sinr
6
4
3
2
23
43
53
34
54
74
56
76
116
2
32
θ r
0 65.75.4543
2.62.32
2.32.6345
5.55.76
EX 5: 4 2cosr
6
4
3
2
23
43
53
34
54
74
56
76
116
2
32
θ r
0 65.75.4543
2.62.32
2.32.6345
5.55.76
EX 5: 4 2cosr
6
4
3
2
23
43
53
34
54
74
56
76
116
2
32
θ r
4.32.50
–2.5
–4.3
–5–4.3
–2.5
02.54.3
2π 5
θ r
0 54.32.50
–2.5
–4.3
–5–4.3
–2.5
02.54.3
π 5
EX 6: 5cos2r
6
4
3
2
23
43
53
34
54
74
56
1112
76
116
2312
32
1912
1712
1312
12
512
712
θ r
4.32.50
–2.5
–4.3
–5–4.3
–2.5
02.54.3
2π 5
θ r
0 54.32.50
–2.5
–4.3
–5–4.3
–2.5
02.54.3
π 5
EX 6: 5cos2r
6
4
3
2
23
43
53
34
54
74
56
1112
76
116
2312
32
1912
1712
1312
12
512
712
θ r
–2.8
–4–2.8
02.84
2.80
–2.8
–4–2.8
2π 0
θ r
0 02.84
2.80
–2.8
–4–2.8
02.84
2.8π 0
EX 7: 4sin3r
6
4
3
2
23
43
53
34
54
74
56
1112
76
116
2312
32
1912
1712
1312
12
512
712
these points are on top of other points!
θ r
–2.8
–4–2.8
02.84
2.80
–2.8
–4–2.8
2π 0
θ r
0 02.84
2.80
–2.8
–4–2.8
02.84
2.8π 0
EX 7: 4sin3r
6
4
3
2
23
43
53
34
54
74
56
1112
76
116
2312
32
1912
1712
1312
12
512
712
these points are on top of other points!
θ r
0 ±2±1.40
undundundund±1.4
±2±1.40
undundundund±1.4
±2
EX 8: 2 4cos 2r
6
4
3
2
23
43
53
34
54
74
56
76
116
2
32 these
points repeat
θ r
0 ±2±1.40
undundundund±1.4
±2±1.40
undundundund±1.4
±2
EX 8: 2 4cos 2r
6
4
3
2
23
43
53
34
54
74
56
76
116
2
32 these
points repeat
θ r
0 0±1.9
±2±1.90
undundund
0±1.9
±2±1.90
undundund
0
EX 9: 2 4sin 2r
6
4
3
2
23
43
53
34
54
74
56
76
116
2
32 these
points repeat
θ r
0 0±1.9
±2±1.90
undundund
0±1.9
±2±1.90
undundund
0
EX 9: 2 4sin 2r
6
4
3
2
23
43
53
34
54
74
56
76
116
2
32 these
points repeat
Homework
#1002 10-2 Day 1 Worksheet
