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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+ir 12π-ir ir -ir -12π+ir -12π-ir -12π
w 0 1 coshr+i0 coshr-i0 isinhr -isinhr -coshr+i0 -coshr-i0 -1
Figure 4.15.7: Conformal mapping of sine and inverse sine. w=sinz, z=arcsinw. Magnify