Graphing Basic Trigonometric Functions


                                                                        Graph of  
                              
Period:            Domain: All real numbers           Range:
                         Symmetric with respect to the origin




                                                                    Graph of   
                              
Period:            Domain: All real numbers           Range:
                            Symmetric with respect to the y axis







                                                                                     Graph of  
                    
Period:
Domain: All real numbers except
                                                                                 , an integer
Range: All real numbers
Symmetric with respect to the origin
Increasing function between consecutive asymptotes
Discontinuous at
                                                                      , an integer

          See Example 1, page 470, of the textbook.




                                                                        Graph of   
                    
Period:
Domain: All real numbers except
                                                                                 , an integer
Range: All real numbers
Symmetric with respect to the origin
Decreasing function between consecutive asymptotes
Discontinuous at
                                                                       , an integer




                                                                            Graph of   
                    
Period:
Domain: All real numbers except
                                                                                           , an integer
Range: All real numbers such that
                                                                                               or   
Symmetric with respect to the y axis
Discontinuous at Discontinuous at
                                                                                 , an integer




                                                                              Graph of  
                    
Period:
Domain: All real numbers except
                                                                                                     , an integer
Range: All real numbers such that
                                                                                                       or   
Symmetric with respect to the origin
Discontinuous at Discontinuous at
                                                                                           , an integer

          See Example 2, page 474, of the textbook.



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