# Tangent & Cotangent Transformations, Instruction + 6 Assignments on PDF

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These activities are done in degrees.

There are 9 PDFs in this zip folder. 3 are instruction files and 5 are assignment files.

PDF Instruction file #1 is an 11 page file. It defines inflection points and demonstrates the 4 key concepts of tangent and cotangent graphs:
1. Centerline interception and inflection points that change concavity.
2. Inflection points above the centerline.
3. Inflection points below the centerline.
4. Asymptotes

PDF Instruction file #2 is 28 pages. It relates y=tanx to the following:
1. y=-2+tanx
2. y=2tanx
3. y=tan2x
4. y=tan(x-20)
Computer models of y=tanx and the above transformations are used to illustrate the transformations.

PDF Instructional #3 is the same as #2. There are 6 slides per page for a total of 5 pages.

PDF Assignment #1 gives 6 graphs (3 tan and 3 cot) where the student has to identify the following for each graph:
1. The vertical shift
2. The vertical stretch
3. The period
4. The horizontal stretch factor
5. The phase angle(3 for tan and 3 for cot)
It is on 1 page for easy printing.

Assignment #2 and #3 are in the same PDF file.
Assignment #2 is 10 Tan graphs. The student must use transformations to write an equation of each.It is on 1 page for easy printing. Assignment #3 is 10 Cot graphs. The student must use transformations to write an equation of each. It is on 1 page for easy printing.

PDF Assignment #4 gives 6 graphs (3 tan and 3 cot) where the student has to identify the following for each graph:
1. The vertical shift
2. The vertical stretch
3. The period
4. The horizontal stretch factor
5. The phase angle(3 for tan and 3 for cot)

PDF Assignment file #4A is like #4. The student is asked to find the phase angle of +- tan and +-cot. It is on 1 page for easy printing.

PDF Assignment file #5 provides 5 tangent graphs and 5 cotangent graphs. The student is required to write an equation for each graph. It is on 1 page for easy printing.

Solutions are included.

Thank you for looking
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