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To graph the inverse cosecant function, we will have to use the inverse of the
reciprocal function (sine) with the reciprocal argument. Return to the function editor
and replace the inverse tangent with the inverse sine function, but also change the x
to 1/x. We can leave the window settings as is. Graph the function.
Observe that the domain is ![(-infinity, -1]U[1, infinity)](page8c.gif) ,
and the range is ![[-pi/2, 0)U(0, pi/2]](page8d.gif) .
There is a horizontal asymptote at y = 0. This version of the arccosecant
function may be different from the definition given in your text. |
