10. SAS 5 Tangent

Tangent (Page 8-12)

​Page 8 #1

​Page 8 #2 Table

Page 8 #2 Graph

​Check the graph. Plot the points in your packet if you didn't already.

Page 9 #3

Go to Desmos and type tan 90 in. Make sure your are in degrees and not radians.

​

Multiple Choice

Watch the video. How is $$\tan90\degree$$ shown on the graph?

• Horizontal Asymptote

• Vertical Asymptote

• No graph

Labelling

Page 9 #4

Fill in the table to show values of $$\tan\propto$$ for negative values of $$\propto$$ . Use Desmos to find each value. Make sure you are in degrees mode.

Drag labels to their correct position on the image

-0.839

-0.176

-1.732

-0.577

-1.192

-0.364

-5.671

-2.747

​Page 10 Top Notes

Labelling

Page 10 #5

Sketch a graph of the parent tangent function, y = tan a. Describe the domain, range, symmetry, period, and any asymptotes of the graph.

Use Demos to sketch the graph.

Drag labels to their correct position on the image

Point symmetry (odd)

All angle measures

All angle measures except 90, 270, etc

​Page 10 #5 Graph

​Page 10 #6 SKIP

Multiple Choice

Page 11 #7

What function rule describes the graph?

Hint: Type the options into Desmos to see which one matches.

• $$y=\tan\propto$$

• $$y=-\tan\propto$$

• $$y=2\tan\propto$$

Match

Match the descriptions.

• Function

• Domain

• Range

• Asymptotes

Tangent

All angle measures except multiples of

All angle measures

multiples of

• Tangent

• All angle measures except multiples of $$\pi$$

• All angle measures

• $$x=$$ multiples of $$\pi$$

Open Ended

Write a description of the graph shown.

Talk about:

1. 1. type of function

2. 2. domain

3. 3. range

4. 4. asymptotes

5. 5. odd or even