Find the area inside the smaller loop of the limaçon r = 2 cos e + 1. r? = (2 cos e + 1)² = 4 cos e +4 cos 0 +1 1+ cos 20 = 4.- + 4 cos e + 1 = 2 + 2 cos 20 + 4 cos e + 1 - 3 + 2 cos 20 + 4 cos 0, r=2 cos 0 + 1 (3 + 2 cos 20 + 4 cos 0) de A = 30 + sin 20 + 4 sin e e-0 = (37) - (27 ershare ment Can you tell me how to draw this circle?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 76E
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Find the area inside the smaller loop of the limaçon
r = 2 cos e + 1.
r? = (2 cos e + 1) = 4 cos² e + 4 cos e + 1
= 4.1+ cos 20
+ 4 cos e +1
= 2 + 2 cos 20 + 4 cos 0 + 1
= 3 + 2 cos 20 + 4 cos 0,
r-2 cos e +1
A =
(3 + 2 cos 20 + 4 cos 0) de
- [ -
0-0
+ sin 20 + 4 sin e
= (37) -
2 -
+4.
ershare
Can you tell me how
to draw this circle?
ment
Transcribed Image Text:EXAMPLE Find the area inside the smaller loop of the limaçon r = 2 cos e + 1. r? = (2 cos e + 1) = 4 cos² e + 4 cos e + 1 = 4.1+ cos 20 + 4 cos e +1 = 2 + 2 cos 20 + 4 cos 0 + 1 = 3 + 2 cos 20 + 4 cos 0, r-2 cos e +1 A = (3 + 2 cos 20 + 4 cos 0) de - [ - 0-0 + sin 20 + 4 sin e = (37) - 2 - +4. ershare Can you tell me how to draw this circle? ment
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