Section 1.6 Graphs of the Other Trig Functions

Section Objectives

  1. Sketch the graphs of general tangent functions.
  2. Sketch the graphs of general secant, cosecant, and cotangent functions.


Graph of the Tangent Function

When thinking about the tangent function, here are the main points to keep in mind:



The graph of is shown here.

 

 




More General Graphs of Tangent

For graphing general tangent functions, we can adopt strategies similar to those used for graphing sines and cosines. The general form of the tangent function is




Examples







 




Graphs of the Other Remaining Trig Functions

To graph any other trig function, we will first graph the corresponding reciprocal function, place vertical asymptotes at all zeros, and think about reciprocal values. It's actually pretty easy to do this once we've master sine, cosine, and tangent.


Rather than explain in writing, we will do lots of examples.



Examples