graphing the reciprocal functions
DESCRIPTION
Graphing the Reciprocal Functions. Students will graph the reciprocal trigonometric functions using transformations. Students will write equations of the reciprocal trigonometric functions. HW Review. Reciprocal of cosine Vertical Stretch by 2 Vertical Shift down 3 Horizontal Stretch by 4 - PowerPoint PPT PresentationTRANSCRIPT
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Graphing the Reciprocal Functions
•Students will graph the reciprocal trigonometric functions using transformations.
•Students will write equations of the reciprocal trigonometric functions.
![Page 2: Graphing the Reciprocal Functions](https://reader036.vdocuments.net/reader036/viewer/2022062301/568161cf550346895dd1c3f1/html5/thumbnails/2.jpg)
Reciprocal of cosine Vertical Stretch by 2 Vertical Shift down 3 Horizontal Stretch by 4 Horizontal Shift left π
HW Review
2 34 412 34
sec
sec
xy
y x
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2 34 412 34
sec
sec
xy
y x
H Shift H Stretch x y sec x V Stretch V Shift - π 0 0 1 1 2 -1π 2π π/2 0 Und Und Und
3π 4π π -1 -1 -2 -55π 6π 3π/2 0 Und Und Und7π 8π 2π 1 1 2 -1
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Asymptotes: 4 nRange: (- , -5] [-1, )
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GROUP WORK Move to your assigned groups. (A, B, or C)
The assigned group leader will review the instructions for your group assignment.
Work cooperatively. Check to be sure that everyone in the group understands and completes the assignment.
Only ask for help if everyone in the group has been consulted and you ALL have the same question.
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Goals:• Students will graph the reciprocal
trigonometric functions using transformations.
• Students will write equations of the reciprocal trigonometric functions.
![Page 7: Graphing the Reciprocal Functions](https://reader036.vdocuments.net/reader036/viewer/2022062301/568161cf550346895dd1c3f1/html5/thumbnails/7.jpg)
![Page 8: Graphing the Reciprocal Functions](https://reader036.vdocuments.net/reader036/viewer/2022062301/568161cf550346895dd1c3f1/html5/thumbnails/8.jpg)
![Page 9: Graphing the Reciprocal Functions](https://reader036.vdocuments.net/reader036/viewer/2022062301/568161cf550346895dd1c3f1/html5/thumbnails/9.jpg)
X Y
0 0
π/2 1
Π 0
3π/2 -1
2π 0
X Y
-π/2 Und
-π/4 -1
0 0
π/4 1
π/2 Und
X Y
0 1
π/2 0
Π -1
3π/2 0
2π 1
y= sin x y = cos x y = tan x
![Page 10: Graphing the Reciprocal Functions](https://reader036.vdocuments.net/reader036/viewer/2022062301/568161cf550346895dd1c3f1/html5/thumbnails/10.jpg)
y = csc x y = sec x y = cot xX Y
0 Und
π/2 1
Π Und
3π/2 -1
2π Und
X Y
0 1
π/2 Und
Π -1
3π/2 Und
2π 1
X Y
-π/2 0
-π/4 -1
0 Und
π/4 1
π/2 0
![Page 11: Graphing the Reciprocal Functions](https://reader036.vdocuments.net/reader036/viewer/2022062301/568161cf550346895dd1c3f1/html5/thumbnails/11.jpg)
How to mark your number lines
Counting by 4
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How to mark your number lines
6
Counting by
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Hint: Do any of the equations show a horizontal shift?
Viewing Windows should be written as follows:
X axis:
Y axis:
Worksheet #2Matching Equations to Graphs
52 2 2
, step
3 3, step 1
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HW: Be sure that you have 4 problems from the
graphing worksheet completed and checked.
Tuesday: Review Continue work in groups to complete the
matching exercise and writing equations from graphs.
Quiz: Wednesday 2/26
Conclusion