Students use calculators to generate a table of values for the negative cosine function then graph the wave. After completing the graph the student is led to look for patterns so the graph can be done without the use of a calculator and table. There are guided questions regarding the characteristics of the graph that can be answered in a whole group or cooperative learning setting. A follow-up worksheet is available at The Math Machine using the four basic sinusoidal graphs. This activity is part of the Graphing Basic Sinusoidal Waves Bundle.