Labels:text | graphic design | screenshot | graphics | font | design | black and white | logo OCR: Figure 12-8: Illustration of the Range of the Arc Sine Function Just as sin grabe horizontal lines and benda them into elliptical loops around the origin, ao ita inverse asin lakes annull and yanka them more or less horizontally straight. Because sine is not injective, ita inverse as a function cannot be surjective. This is just a highfalutin way of saying that the range of the asin function doesn't cover the entire plane but only a atrip a wide; arc sine as a one-to-many relation would cover the plane with an infinite number of copies of this atrip side by side, looking for all the world like the tail of a peacock with an infinite number of feathers. The imaginary axis is mapped to itself as if by asinh considered as a real function. The real axis is mapped to a bent path, turning corners at Ex /2 (the pointa to which +1 are mapped); +oo is mapped to w/2 - poi, and -co lo -w/2+ 5.
