CPM Homework Banner

Home > CCA2 > Chapter 12 > Lesson 12.2.3 > Problem 12-133


Consider the function .

  1. Make a complete graph of .

    Repeating wave curve, first visible low & high points: (negative 3 pi halves, comma negative 1) & (negative pi halves, comma 1), continuing in that pattern, just past 2 pi.

  2. Write a simpler trig function that is represented by the same graph.

    Which trig function passes through the origin?

  3. Now use the angle sum identity to expand and simplify .

    Use Angle Sum Identities.

  4. Does your work in part (c) agree with your graphical results from parts (a) and (b)? Explain.

    Your answers should agree.