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4-38.
  1. ARE SINE AND COSINE PARENT GRAPHS? Homework Help ✎

    Although sine and cosine have the shape and one can be transformed by a shift to create the other, we will consider them both parent graphs. We have determined the domain and range for both functions. Complete the investigation by answering the following questions:

    1. What is the period for y = sin x and y = cos x?

    2. What is the amplitude for y = sin x and y = cos x?

    3. What are the intercepts for y = sin x?

    4. What are the intercepts for y = cos x?

Use the graphs below to find the answers for (a) - (d).

The x distance for 1 whole cycle.

Write an expression for all intercepts.

Write an expression for all intercepts.