Earlier in the week, I posted a huge table of values for the trig functions and said I would show you how to learn it. Memorize may be the wrong word since it is more about understanding how the values work with eachother. Even so, after some practice, you won’t need the table to be able to answer the question “what is 
In case you are wondering, this IS in fact very similar to learning/memorizing the unit circle, just another perspective on almost the same information. If you wanted to know the 
The problem with this is it provides absolutely no conceptual understanding of what these values represent.
I often use two basic triangles: the 30-60-90 and the 45-45-90 to help students remember all the basic angles.
I think this helps more than this method
This is true! A student in trig has to not only memorize these values but understand their meaning. In my personal experience, in a typical course at least, student are expected to know the values well before enough time has passed for the “why” to sink in which is what this addresses. I think the best use of this is to help one remember the values while continuing to study the “why”, since of course, that is the most important part.