Download presentation
Presentation is loading. Please wait.
Published byEmery Marvin Copeland Modified over 9 years ago
1
GRAPHS OF THE POLAR EQUATIONS r = a ± b cos θ r = a ± b sin θ
2
HOW THE SIZES OF a, b IMPACT THE GENERAL SHAPE OF THE GRAPH r = a ± b cos θ r = a ± b sin θ
3
CIRCLE r = a + b cos θ, where |a|=0 r = 2 cos θ
4
LIMACON WITH LOOP r = a + b cos θ, where |a|<|b| r = 1 + 2 cos θ
5
CARDIOID r = a + b cos θ, where |a|=|b| r = 2 + 2 cos θ
6
LIMACON WITH DIMPLE r = a + b cos θ, where |b|<|a|<2|b| r = 3 + 2 cos θ
7
CONVEX LIMACON r = a + b cos θ, where |a|=2|b| r = 4 + 2 cos θ
8
CONVEX LIMACON r = a + b cos θ, where |a|>2|b| r = 5 + 2 cos θ
9
HOW THE TRIGONOMETRIC FUNCTION IMPACTS THE ORIENTATION OF THE GRAPH r = a ± b cos θ r = a ± b sin θ
10
r = a + b cos θ, where a > 0, b > 0 r = 1 + 2 cos θ
11
r = a + b sin θ, where a > 0, b > 0 r = 1 + 2 sin θ
12
HOW THE SIGNS OF a, b IMPACT THE DIRECTION OF THE GRAPH r = a ± b cos θ r = a ± b sin θ
13
r = a + b cos θ, where a > 0, b > 0 r = 1 + 2 cos θ
14
r = a + b cos θ, where a > 0, b < 0 r = 1 - 2 cos θ
15
r = a + b cos θ, where a 0 r = -1 + 2 cos θ
16
r = a + b cos θ, where a < 0, b < 0 r = -1 - 2 cos θ
17
PUTTING IT TOGETHER GUESS THE GRAPH BY DETERMINING THE SHAPE, THE ORIENTATION & THE DIRECTION r = -4 - 3 sin θ
18
r = -4 - 3 sin θ
19
PUTTING IT TOGETHER GUESS THE GRAPH BY DETERMINING THE SHAPE, THE ORIENTATION & THE DIRECTION r = -4 + 4 cos θ
20
r = -4 + 4 cos θ
21
HOW WOULD YOU FIND THE x- AND y-INTERCEPTS OF A POLAR CURVE r = f(θ) ?
22
FIND THE VALUES OF r FOR θ = 0, π/2, π AND 3π/2 BE CAREFUL OF NEGATIVE VALUES OF r
23
GRAPHS OF THE POLAR EQUATIONS r = a cos nθ r = a sin nθ
24
HOW THE VALUE OF n IMPACTS THE GENERAL SHAPE OF THE GRAPH r = a cos nθ r = a sin nθ
25
r = 3 cos θ
26
r = 3 cos 2θ
27
r = 3 cos 3θ
28
r = 3 cos 4θ
29
r = 3 cos 5θ
30
r = 3 cos 6θ
31
HOW THE TRIGONOMETRIC FUNCTION IMPACTS THE ORIENTATION OF THE GRAPH r = a cos nθ r = a sin nθ
32
r = 3 cos θ
33
r = 3 sin θ
34
r = 3 cos 2θ
35
r = 3 sin 2θ
36
r = 3 cos 3θ
37
r = 3 sin 3θ
38
r = 3 cos 4θ
39
r = 3 sin 4θ
40
r = 3 cos 5θ
41
r = 3 sin 5θ
42
r = 3 cos 6θ
43
r = 3 sin 6θ
44
PUTTING IT TOGETHER GUESS THE EQUATION OF A ROSE CURVE WITH [a] 16 petals [b] 15 petals [c] 14 petals
45
PUTTING IT TOGETHER [a] r = a sin 8θ or r = a sin 8θ [b] r = a sin 15θ or r = a sin 15θ [c] no such rose curve
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.