# Writing Equations of Sine and Cosine Curves

Document Sample

```					Writing Equations of Sine and Cosine Curves Steps for Writing Equations Step 1: Step 2:

Name __________________________

Step 3: Step 4: Step 5:

For #1-4, write a sine function for the given graph. To do this, identify the amplitude, period, and vertical and horizontal shifts. The circled point is the starting point. 1. Vertical Shift: Horizontal Shift: d = _______ c = _______

Amplitude: Period:

a = _______ b = _______ (b(x-c)) = _______

Function: _____________________________ 2. Amplitude: Period: a = _______ b = _______

Vertical Shift: Horizontal Shift

d = _______ c = _______ (b(x-c)) = _______

Function: ____________________________

3.

Amplitude: Period:

a = _______ b = _______

Vertical Shift: Horizontal Shift

d = _______ c = _______ (b(x-c)) = _______

Function: ____________________________ 4. Amplitude: Period: a = _______ b = _______

Vertical Shift: Horizontal Shift

d = _______ c = _______ (b(x-c)) = _______

Function: ____________________________ For #5-8, write a cosine function for the given graph. To do this, identify the amplitude, period, and vertical and horizontal shifts. The circled point is the starting point. 5. Amplitude: Period: a = _______ b = _______

Vertical Shift: Horizontal Shift

d = _______ c = _______ (b(x-c)) = _______

Function: _____________________________

6.

Amplitude: Period:

a = _______ b = _______

Vertical Shift: Horizontal Shift

d = _______ c = _______ (b(x-c)) = _______

Function: _____________________________ 7. Amplitude: Period: a = _______ b = _______

Vertical Shift: Horizontal Shift

d = _______ c = _______ (b(x-c)) = _______

Function: _____________________________ 8. Amplitude: Period: a = _______ b = _______

Vertical Shift: Horizontal Shift

d = _______ c = _______ (b(x-c)) = _______

Function: _____________________________ 9. A Ferris wheel with a radius of 50 feet reaches its lowest point 5 feet above the ground. A rider’s vertical motion is modeled by a cosine curve. When the wheel begins to rotate, the rider starts from the minimum height. The Ferris wheel makes one complete revolution counterclockwise every 36 seconds. Write an equation that models the height of a rider on this Ferris wheel. Hint: You may want to make a quick sketch of the graph described by the points.

```
DOCUMENT INFO
Shared By:
Categories:
Stats:
 views: 33 posted: 1/26/2010 language: English pages: 3
How are you planning on using Docstoc?