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4 Elementary FunctionsTrigonometric Functions4.15 Graphics
Figure 4.15.7 (See in context.) Magnify
See accompanying text
      (i) z-plane                                                  (ii) w-plane
A B C C¯ D D¯ E E¯ F
z 0 12⁢π 12⁢π+i⁢r 12⁢π−i⁢r i⁢r −i⁢r −12⁢π+i⁢r −12⁢π−i⁢r −12⁢π
w 0 1 cosh⁡r+i⁢0 cosh⁡r−i⁢0 i⁢sinh⁡r −i⁢sinh⁡r −cosh⁡r+i⁢0 −cosh⁡r−i⁢0 −1
Figure 4.15.7: Conformal mapping of sine and inverse sine. w=sin⁡z, z=arcsin⁡w. Magnify
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