The hard ones, all right here for you in one place! Graphing tangent, co-tangent, secant and co-secant definitely isn't the picnic that sine & cosine graphs were (just kidding), but these actually aren't so bad if you base them on the cosine & sine graphs. The method I'll show you involves graphing either a sine or cosine with the same period and amplitude, then basing your new graph off of that. What's great about this method is it produces the asymptotes automatically - i.e. you don't have to think about it at all - which is the goal here since thought (or at least "thinking about it") is the enemy of good test-taking.
Graphing Tangent & Co-Tangent
Disco's back, baby! After seeing this video, you'll get a nice upper body workout during homework and tests as you mime "right-handed disco" and "left-handed disco", leaving your highly confused classmates eating your disco dust.
Graphing Secant & Co-Secant
Gone are the days of disco. No, unfortunately the only visual metaphor that seems to apply to graphs of secant and co-secant are U's and upside-down U's. Oh well.
If you do not have an account, you should get one, because it is awesome! You can save a playlist for each test or each chapter, and save your "greatest hits" into a "watch right before the final" list (not that we recommend cramming, but when in Rome...)