Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
23. 2 sin e = 2 sin 20 = sine = sin 20 sine = 2 sin e cos e sine - 2 sin e cos e = 0 (sin 8)(1 – 2cos e) = 0= sin e = 0 or cose = or -0 = 0 or =r=0 0 =r= V3, and 0 = -=-V3: points of =0 = 0, 7, 3 intersection are (0,0), (0, "), (V 3.), and (-V3, --) Figure 28 D. Find the areas of the regions 2. Shared by the circles r= 2 cos e and r= 2 sin e 3. Shared by the circles r= 1 and r = 2 sin e 112

23. 2 sin e = 2 sin 20 = sine = sin 20 sine = 2 sin e cos e sine - 2 sin e cos e = 0 (sin 8)(1 – 2cos e) = 0= sin e = 0 or cose = or -0 = 0 or =r=0 0 =r= V3, and 0 = -=-V3: points of =0 = 0, 7, 3 intersection are (0,0), (0, "), (V 3.), and (-V3, --) Figure 28 D. Find the areas of the regions 2. Shared by the circles r= 2 cos e and r= 2 sin e 3. Shared by the circles r= 1 and r = 2 sin e 112

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 80E
See similar textbooks
icon
Related questions
icon
Concept explainers
Question
Find the areas of the regions r=2 cos,and r= 2sin
Figure 27 26 23. 2 sin e = 2 sin 20 = sin 0 = sin 20 + sin e = 2 sin e cos e > sin 0 – 2 sin e cos e = 0 1 (sin 8)(1 – 2cos e) = 0 = sine = 0 or cos e = →8 = 0,,3 03D0 or T r= 0 or 0 = r= V3, and 6 = r= -V3; points of intersection are (0,0), (0, 7), -2 sin 2 Figure 28 D. Find the areas of the regions 22. Shared by the circles r = 2 cos e and r = 2sin e 23. Shared by the circles r = 1 and r = 2 sin 0 24. Shared by the circle r = 2 and the cardioidr= 2(1 – cos 0) 25. Shared by the cardioids r = 2(1+ cos 0) and r = 2(1 – cos 0) 26. Inside the lemniscate r? = 6 cos 20 and outside the circle r = V3 27. Inside the circle r = 3a cos 0 and outside the cardioid r = a(1+ cos 6). a >0 28. Inside the circle r = -2 cos 0 and outside the circle r = 1 27 Solution: 22. r= 2 cos e and r= 2 sin 0 = 2 cos e = 2 sin e = cos e = sin e = 0 = 2 cose Figure 29 therefore A = 2;(2 sin 0)² dø = 1- cos 20 de 4 sin? ede = (2 – 2 cos 20)do = [20 – sin 20/4 1 23. r= 1 andr = 2 sin 0 > 2 sin 0 = 1 = sin 0 = 0= or 6
Transcribed Image Text:Figure 27 26 23. 2 sin e = 2 sin 20 = sin 0 = sin 20 + sin e = 2 sin e cos e > sin 0 – 2 sin e cos e = 0 1 (sin 8)(1 – 2cos e) = 0 = sine = 0 or cos e = →8 = 0,,3 03D0 or T r= 0 or 0 = r= V3, and 6 = r= -V3; points of intersection are (0,0), (0, 7), -2 sin 2 Figure 28 D. Find the areas of the regions 22. Shared by the circles r = 2 cos e and r = 2sin e 23. Shared by the circles r = 1 and r = 2 sin 0 24. Shared by the circle r = 2 and the cardioidr= 2(1 – cos 0) 25. Shared by the cardioids r = 2(1+ cos 0) and r = 2(1 – cos 0) 26. Inside the lemniscate r? = 6 cos 20 and outside the circle r = V3 27. Inside the circle r = 3a cos 0 and outside the cardioid r = a(1+ cos 6). a >0 28. Inside the circle r = -2 cos 0 and outside the circle r = 1 27 Solution: 22. r= 2 cos e and r= 2 sin 0 = 2 cos e = 2 sin e = cos e = sin e = 0 = 2 cose Figure 29 therefore A = 2;(2 sin 0)² dø = 1- cos 20 de 4 sin? ede = (2 – 2 cos 20)do = [20 – sin 20/4 1 23. r= 1 andr = 2 sin 0 > 2 sin 0 = 1 = sin 0 = 0= or 6
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Application of Integration
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS