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4-38.

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:

What is the period for

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

*y*= sin*x*and*y*= cos*x*?What are the intercepts for

*y*= sin*x*?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.