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128. Express the equation (x + y)² = x − y in polar form.

128. Express the equation (x + y)² = x − y in polar form.

Calculus: Early Transcendentals
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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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.

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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.
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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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
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
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