Graphs Dealing with Sine and Cosine

                     Lesson 1

 

                                                            Problem:    On, the same set of axes from 0 to 2π, graph

                                                                                    y = -Sin x  and  y = 2cos(1/2*x)

                                                                                              

                                                            Solution    Analyze the graph carefully

                                                            Step 1:                         

                           

                                                            Solution    First, graph the first equation  

Step 2:                                                                                      

                            

                                                            Solution    Graph the second equation

                                                            Step 3:  

 

                                                            Solution    Hence this is the required Graph 

                                                            Step 4:                                                             

Complete      

 

                                                            Try two practice problems:  

A. On, the same set of axes from 0 to 2π, graph y = 1/2Sin(1/2*x)  and y = -Sin(1/2x)
 
B. On, the same set of axes from 0 to 2π,graph y = 2 Cos(1 / 3 * x) + 1 and     y =  -2 sin x. Where on the graph does the graph reach its maximum value(s)?

  

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