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OCR: Figure 12-10: Illustration of the Range of the Arc Cosine Function The graph of acos is very much like that of asin. One might think that our nervous peacock has shuffled half a step to the right, but the shading on the annuli shows that we have instead caught the bird exactly in mid-flight while doing a cartwheel. This is easily understood if we recall that arccos z = [w/2) - arcain z; negating arcain z rotates it upside down, and adding the result to w /2 translates it x/2 to the right. The imaginary axis is mapped upside down to the vertical line at w/2. The point +1 is mapped to the origin, and -1 to x. The image of the real axia ia again cranky; +00 is mapped to +oos, and -co to x - poi.