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"A Fascinating Chart"

What happens in the sine column? What will happen next?

What happens in the cosine column? What will happen next?

What are the definitions for tangent?

Turn and sketch:

1. What is the right triangle definition of tangent?

2. What is the unit circle definition of tangent?

y = sin(x) and y = cos(x)

y = tan(x) and y = cot(x)

**Domain and Range**

1. What are the domain and range of the sine function?

2. What are the domain and range of the cosine function?

3. What are the domain and range of the tangent function?

1. What are the domain and range of the sine function?

2. What are the domain and range of the cosine function?

3. What are the domain and range of the tangent function?

**Features of The Tangent Function**

1. What happens at the midline of a tangent function?

2. How can I figure out where the asymptotes should be?

3. Do tangent functions have amplitude?

1. What happens at the midline of a tangent function?

2. How can I figure out where the asymptotes should be?

3. Do tangent functions have amplitude?

1. How to adjust the window.

2. Where are the asymptotes?

3. Do tangent functions have amplitude?

1. How to adjust the window.

2. Where are the asymptotes?

3. Do tangent functions have amplitude?

What about the tangent column?

What's going on here?

**How to Graph a Tangent Function**

1. Set up the axes, based on the equation.

2. Sketch the asymptotes.

3. Sketch the midline and plot the inflection points.

4. Plot the "1's".

5. Sketch the tangent curves.

1. Set up the axes, based on the equation.

2. Sketch the asymptotes.

3. Sketch the midline and plot the inflection points.

4. Plot the "1's".

5. Sketch the tangent curves.