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Home > INT3 > Chapter 12 > Lesson 12.2.3 > Problem 12-111


Consider the function .

  1. Make a complete graph of the function.

    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 trigonometric 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 .

    Review the Math Notes box in this lesson and problem 12-108 for the 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.