CPM Homework Help : PC Problem 9-159

Find possible equations for the graph below in terms of both sine and cosine.

Hint:

Sine Function
1. There is no horizontal shift.
2. It is shifted down $3$ .
3. The period is π. Find frequency: $pb = 2π$ .
4. The amplitude is $2$ .

More help:

Cosine Function

The cosine is shifted to the right $\frac{\pi}{4}$ .

Be careful with your sign.

Periodic curve, x axis scaled from negative 2 pi to 2 pi, with 8 visible turning points, first at (negative 7 fourths pi, comma negative 1), second at (negative 5 fourths pi, comma negative 5), passing through (0, comma negative 3).