Given (x,y) In(2xy) where x(u,v)=e" cos (4v) and y(u, v) = e" sin(4v). Find sin x cos x [Hint: tanx and cot x = ] coS x sin x sin(4) 4 tan(4v)-8cot(4) 8 cot(4v)-4 tan(4r)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given :(x, v) = In (2.xy) where x(u,v)=e" cos(4v)
and y(u,v) = e sin(4v). Find
sinx
cos x
[Hint: tanx=
and cot x
cos x
sinx
cos(4v)
sin (4v)
4 tan(4r)-8cot(4v)
8 cot(4v)-4 tan (4v)
(4r)
Transcribed Image Text:Given :(x, v) = In (2.xy) where x(u,v)=e" cos(4v) and y(u,v) = e sin(4v). Find sinx cos x [Hint: tanx= and cot x cos x sinx cos(4v) sin (4v) 4 tan(4r)-8cot(4v) 8 cot(4v)-4 tan (4v) (4r)
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