Digital Library of Mathematical Functions
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4 Elementary FunctionsTrigonometric Functions4.15 Graphics

Figure 4.15.7 (See in context.)

See accompanying text
  (i) z-plane                  (ii) w-plane
A B C C¯ D D¯ E E¯ F
z 0 12π 12π+r 12π-r r -r -12π+r -12π-r -12π
w 0 1 coshr+0 coshr-0 sinhr -sinhr -coshr+0 -coshr-0 -1
Figure 4.15.7: Conformal mapping of sine and inverse sine. w=sinz, z=arcsinw.