The screen of the TI-83 and TI-84 is 95 pixels across. Since many of the inverse trigonometric functions have endpoints (terminal points that begin and end the graph), to have an accurate representation we need to force the calculator to graph these functions so that the endpoints will land directly on a pixel center. This can be done by making the total WINDOW width to be a multiple of 94. By choosing our WINDOW from -2.35 to 2.35, the total width is 4.7, which is a multiple of 94 (94 = 4.7*20). At 94 each pixel would be spaced 1 unit apart, now they will be spaced 1/20 = 0.05 unit apart. By starting at -2.35, every pixel to the right will be another 0.05 units. This will cause the endpoints of the acrsine function at x = -1 and x = 1 to fall directly on a pixel since they are evenly divisible by 0.05.
For the inverse cosecant function, the window needs to be wider, so we will go from -4.7 to 4.7 for a total width of 9.4. Since 94 = 9.4*10, each pixel will now represent 1/10 = 0.1 unit. Again, the endpoints of this graph at x = -1 and x = 1 will land directly on pixel centers.