What happens in Prob 7 if we replace sin z by cos z sin (z 1 2) Data from Prob 7 Let D 0 x 1 2 , 0 y 1 D the image of D w sin z and u 2 v 2 under and What is the corresponding potential in D What are its boundary values Sketch D and D

Question: What happens in Prob. 7 if we replace sin z by cos z = sin (z + 1/2)? Data from Prob. 7 Let D: 0

What happens in Prob. 7 if we replace sin z by cos z = sin (z + 1/2π)?

Data from Prob. 7

Let D: 0 ≤ x ≤ 1/2 π, 0 ≤ y ≤ 1; D* the image of D w = sin z; and Φ* = u² - v². under and What is the corresponding potential Φ in D? What are its boundary values? Sketch D and D*.

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