Graph+Inverse+Trigonometric+Relations+and+Functions

A __function__ is a "well-behaved" relation. Where there is only one output for each input. A __relation__ is a relationship between sets of data in which there can be more than one output for a single input. For example: (1, 7), (2, 8) (3, 16) (4, 29) This is a function. (1, 6) (2, 9) (3, 14) (3, 17) (4, 45) This is a relation because there are two output values for 3.
 * Objective # 26** This wiki page will teach you how to graph inverse trigonometric relations and functions. This section was difficult for me at first because I would always mess up the trigonometric equations key or parent values, so making the inverses were even more complicated. But once I finally memorized them, graphing the inverses turned out to be much easier than I had originally thought.
 * __Relation vs Function:__**

All of the parent graphs below are functions. The inverse graphs below, with the exception of y = arcsecx, are also functions as I drew them. Inverse trig. graphs are relations (because there is more than one y value for every x value) but they can become functions when their range is restricted (so that there is only one y value for every x value).

You can obtain the key values for the parent functions and their inverses by referring to the unit circle. For the inverse graphs, the x values are the trig. values for the degree and the y values are the degrees themselves. I explain this concept more thoroughly in the video. Below are some examples that show you how to graph inverse trig. functions (because of the restricted domain) with some stretches, translations, etc. Please keep in mind that the graphs below, if they continued for more than one period, would be relations! __** Easy Example: **__ __** Medium Example: **__
 * __Parent Funtions__****__a__****__nd their inverses:__** (please keep in mind that I only graphed one period for each of these graphs)


 * __ Hard Example: __**

http://youtu.be/XOwNQZd5xMM Graph this inverse trigonometric equation: y = 2arcsec(x-4)+50
 * __ Here is a link to my instructional video: __**
 * __ Portfolio Example: __**