The Basic Tangent Function Graph, Table, & Features • [5.3a] PRE-CALCULUS 12

Want to really understand why the graph of the basic tangent function looks the way it does, and how it's connected to the unit circle? This video dynamically introduces this important function graphically and numerically, identifies some of the basic features (eg. period, domain & range, asymptotes), and looks at how and why this graph is different than those for sine and cosine.
See the rest of my videos covering other Trig Graphs concepts:    • ★ Trig Graphs [Chapter 5] Pre-Calculu...  
My instructional approach emphasizes conceptual understanding of and connections between concepts and ideas, rather than just pure memorization.

Corresponds to chapter 5, section 5.3 in McGraw-Hill's Pre-Calculus 12, but also fits with the trigonometry unit from almost any other Pre-Calculus course or textbook.

A PDF copy of the 'Video Guide' document used in these videos as well as lots of other resources are available at https://drive.google.com/drive/folder...

#PreCalc12bytheAAMG

00:00 Introduction
00:20 Generating the Tangent Graph from the Unit Circle
08:14 Comparing the Tangent Graph to Sine
11:20 Looking at Tangent Numerically (with a table)
16:38 Sketching the Tangent Function by Hand
23:09 Features of the Tangent Graph (period, domain & range, asymptotes)
26:59 Wrap Up and End Screen