Students will graph the reciprocal trigonometric functions using transformations. Students will...
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Transcript of Students will graph the reciprocal trigonometric functions using transformations. Students will...
Graphing the Reciprocal Functions
•Students will graph the reciprocal trigonometric functions using transformations.
•Students will write equations of the reciprocal trigonometric functions.
Reciprocal of cosine Vertical Stretch by 2 Vertical Shift down 3 Horizontal Stretch by 4 Horizontal Shift left π
HW Review
2 34 4
12 3
4
sec
sec
xy
y x
2 34 4
12 3
4
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
Asymptotes: 4 nRange: (- , -5] [-1, )
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.
Goals:
• Students will graph the reciprocal trigonometric functions using transformations.
• Students will write equations of the reciprocal trigonometric functions.
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
y = csc x y = sec x y = cot x
X 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
How to mark your number lines
Counting by 4
How to mark your number lines
6
Counting by
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
5
2 2 2 , step
3 3, step 1
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