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Question: complex plot of an expression in "r" and "theta"

Question:complex plot of an expression in "r" and "theta"

mehdi jafari 764 Maple
syntax complexplot plotting incomplete-question
July 16 2022
1

how can i plot this complex expression with polar plot and 3d complex plot? i want both 2d polar form and 3d plot of this.
thnx for the help

> 

restart:with(plots,complexplot,implicitplot)

[complexplot, implicitplot]

 (1)
> 

f:=(r,theta)->I*sinh(theta-Pi/6)+cos(Pi/4)=r;

proc (r, theta) options operator, arrow; I*sinh(theta-(1/6)*Pi)+cos((1/4)*Pi) = r end proc

 (2)
> 

complexplot(f(r,theta), r = 0 .. 1, theta = 0 .. 2*Pi, coords=polar);
 

Error, (in plot) incorrect first argument [1/2*2^(1/2)-Im(sinh(theta-1/6*Pi)) = Re(r), Re(sinh(theta-1/6*Pi)) = Im(r), r = 0 .. 1]

  
> 

 

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