Here's a rough idea of what I think is important for the first midterm. You can also keep an eye out for a practice midterm, which will probably be posted on Monday. - Angles. Positive and negative angles. Conversion between radians and degrees. - Definitions of trig functions. Given a point (x,y) on a circle of radius r which corresponds to an angle t, you should be able to give me the value of the trig functions. [For example, sin(t)=y/r.] In class we usually used a circle of radius r=1, which made the definitions easier, but you may or may not run across a circle with a different radius on the test. - Exact values of the trig functions. You should be able to give me exact values (no decimals) of the trig functions for all of our "nice" angles: multiples of 30 degrees and multiples of 45 degrees. You can find all of these by drawing a 30-60-90 or 45-45-90 triangle within a cirlce and using the definitions. - properties of the trig functions: even/odd, domain/range, min/max, where the zeros are, etc. - Graphs of the trig functions. You should be able to work with the "general" equations such as y=A*sin(wx) or y=A*sin(wx-p). Same for cosine. You should be able to graph tan(x) and apply some basic transformations to it. Given a graph of (for example) cot(x) you should be able to graph something like 2*cot(x-1). - basic trig identities, such as those in section 5.4. - Inverse sine and cosine functions. (We'll continue talking about these on Monday) More details this week in class -- Jon