Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
If you can only answer one question, please answer 128. How do you convert from parametric to polar equations in this case? The answer is sqrt(2)*cos(theta+pi/4) all over sin(2theta)+1 but am not sure how to get the answer.
*Please make sure the formatting is readable!
![128. Express the equation (x + y)² = x − y in polar form.
129. Express the polar equation r = 4 sec 0 tan in rectangular form, identify and sketch.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc061ccfc-c5c1-460b-8498-b5bc9ae72844%2F7d4b4d7a-9b27-4a0a-b3a7-fe5c91f09a91%2Flh9o00v_processed.png&w=3840&q=75)
Transcribed Image Text:128. Express the equation (x + y)² = x − y in polar form.
129. Express the polar equation r = 4 sec 0 tan in rectangular form, identify and sketch.
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Follow-up Questions
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Follow-up Question
What is th epurpose of the second step where you multiply and divide by square root 2? Why doesn't the work that I've attached below work/why can't the answer just be (costheta-sintheta)/sin(2theta) since we've already isolated r?
![(x+y)² = x-y
х-у.
✪
(rcos Otrsmo)²= rcoso-rsin O
rcos²8 + 2r² sino cose = rosor sing
trasm²0 20proved worritibro)
r2(coso +2smO COMO + SADO) = r (co-so-sino)
Bol=Care sind
it Cassor asince
1² (2 sino coso) = r(coso-sino)
r²sin (20) = r (coso-sino)
rsin (20)
COSO-SMO
no
r=
caso-smo
Sin (20)
29 prouse
To (Hr
Ind
Pletu](https://content.bartleby.com/qna-images/question/c061ccfc-c5c1-460b-8498-b5bc9ae72844/45a26c8b-a9e0-4ca8-819a-393cb0db8100/608ub7_thumbnail.png)
Transcribed Image Text:(x+y)² = x-y
х-у.
✪
(rcos Otrsmo)²= rcoso-rsin O
rcos²8 + 2r² sino cose = rosor sing
trasm²0 20proved worritibro)
r2(coso +2smO COMO + SADO) = r (co-so-sino)
Bol=Care sind
it Cassor asince
1² (2 sino coso) = r(coso-sino)
r²sin (20) = r (coso-sino)
rsin (20)
COSO-SMO
no
r=
caso-smo
Sin (20)
29 prouse
To (Hr
Ind
Pletu
Solution
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