There's algebra! geometry! trigonometry! rational functions! ln x! fractions! It's like all your years bundled up into one.
My students this year do not as a whole instantaneously remember the trig values in any quadrant of any of the 6 special angles. I am also not doing my daily "IR" quizzes this year (immediate retrieval) because of the other things I am implementing, and I just don't have the time. I am trying to put basic trig questions on many homework sets, but that is not always possible or enough. So, my next attempt is the following: (can download HERE).
I have created a practice sheet for them to use at home. All triangles are such that they can be reference triangles in Q1. I am hoping that the repetitive nature will help. Then on the back, I have the same set up, but the side values are omitted.
My thinking is that after this is perfected (maybe I should have a quiz they must answer in a set amount of time), then the next installment is a picture of the xy-plane with a terminal side marked in Q1 with the angle given. Then the final installment is just the statement given.
Hopefully, this will work to keep things stuck in their brains.
