INVERSE TRIG FUNCTIONS Basic Graphs (Page 10 of 13)

Finally, let's graph the inverse secant function. Return to the function editor and replace the inverse tangent with the inverse cosine function, leaving the argument as 1/x. Change the WINDOW settings so that Ymin = -0.5 and Ymax = 3.5. Then graph the function.

 Y= key. CLEAR key.

 2nd inverse cosine key. X,T,theta,n key. x to the -1 key. Right parenthesis key.

 Calculator screen image.
 WINDOW key....

 GRAPH key.

 Calculator screen image. Calculator screen image.

Observe that the domain is (-infinity, -1]U[1, infinity), and the range is [0, pi/2)U(pi/2, pi]. This may differ from the definition of the arcsecant function from your textbook.
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