CPM Homework Help : PC Problem 4-88

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4-88.

Find an equation in terms of sine and an equation in terms of cosine for the graph shown below.

Periodic curve, x axis scaled from negative 2 pi to 2 pi, with 4 visible turning points, first @ (negative 3 halves pi, comma negative 2), second @ (negative 1 half pi, comma 4).

Hint:

Find the mid-line of the graph.

Answer:

Added to curve: horizontal line at y = 1.

Hint 1:

What is the vertical shift?

Hint 2:

What is the amplitude?

Hint 3:

What is the easiest shift for the sine?

Hint 4:

What is the easiest shift for the cosine?

Answer 1:

$+1$

Answer 2:

$+3$

Answer 3:

Flip it upside down.

Answer 4:

Horizontal shift to the left $\frac{π}{2}$ .

Use the eTool below to visualize this problem.
Click on the link to the right to view the full version of the eTool: PCT 4-88 eTool