Shown below is the graph of the function r(0) = 2 + 4cose in rectangular coordinates r (0.6) 12 706 302 503 11he (2x, 6) 0 211 (a) Using the information in the above graph, and without using a calculator, graph the same function in polar coordinates using the polar coordinate grid. You should get a curve that looks very different from the one shown here.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 64E
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Need help on figuring out question 6 a, b, and c
6. Shown below is the graph of the function r(0) = 2 + 4cose in rectangular
coordinates
r
(0.6)
A
102
Do
hp
0
V
(a) Using the information in the above graph, and without using a calculator, graph the
same function in polar coordinates using the polar coordinate grid. You should get a
curve that looks very different from the one shown here.
135 120-
(-2)
*
105
592
90%
COLZ
O
1587
2000
25.
302
5
SPE
STE DEE
50/3
11he
0-0°
(2x, 6)
0
Transcribed Image Text:6. Shown below is the graph of the function r(0) = 2 + 4cose in rectangular coordinates r (0.6) A 102 Do hp 0 V (a) Using the information in the above graph, and without using a calculator, graph the same function in polar coordinates using the polar coordinate grid. You should get a curve that looks very different from the one shown here. 135 120- (-2) * 105 592 90% COLZ O 1587 2000 25. 302 5 SPE STE DEE 50/3 11he 0-0° (2x, 6) 0
8
OC
7
%6
5
Deemor Cleceroom Arthitting
па 100%
0
113
A
6
11
Q 8 0
(a) Using the information in the above graph, and without using a calculator, graph the
same function in polar coordinates using the polar coordinate grid. You should get a
curve that looks very different from the one shown here.
&
7
B
11
9
195.
hp
150°
N
210°
ITC O Draction2 2018 fathemati
20
135 120 105
-522 002
+592
(x,-2)
135 120 105
*
8
90+ 75+
012582
90
3 / 4
(b) Your graph should pass through the origin. At what value(s) of 8 does your graph
pass through the origin?
(c) Explain, in a few sentences, what causes a graph of a function in polar coordinates
to pass through the origin. How is this different from what makes a graph of a
function in rectangular coordinates pass through the origin?
7. Using another polar coordinate grid, graph the function r(0) = 4 + 2sine. What
difference(s) do you notice between this graph and the one in the previous problem?
How could we anticipate these differences just by looking at the formula for each
function?
759
60
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LOOK
45
(
9
45°
STE
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30.
5
SA
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» TT 2
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Transcribed Image Text:8 OC 7 %6 5 Deemor Cleceroom Arthitting па 100% 0 113 A 6 11 Q 8 0 (a) Using the information in the above graph, and without using a calculator, graph the same function in polar coordinates using the polar coordinate grid. You should get a curve that looks very different from the one shown here. & 7 B 11 9 195. hp 150° N 210° ITC O Draction2 2018 fathemati 20 135 120 105 -522 002 +592 (x,-2) 135 120 105 * 8 90+ 75+ 012582 90 3 / 4 (b) Your graph should pass through the origin. At what value(s) of 8 does your graph pass through the origin? (c) Explain, in a few sentences, what causes a graph of a function in polar coordinates to pass through the origin. How is this different from what makes a graph of a function in rectangular coordinates pass through the origin? 7. Using another polar coordinate grid, graph the function r(0) = 4 + 2sine. What difference(s) do you notice between this graph and the one in the previous problem? How could we anticipate these differences just by looking at the formula for each function? 759 60 60+ LOOK 45 ( 9 45° STE 11. 11 30. 5 SA 330 8-0° » TT 2 ✓ 0 ➜ - - A +11 backspace C
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