Transcript Graphing the Reciprocal Functions Students will graph the

•Students
will graph the reciprocal trigonometric
functions using transformations.
•Students
will write equations of the reciprocal
trigonometric functions.
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Reciprocal of cosine
Vertical Stretch by 2
Vertical Shift down 3
Horizontal Stretch by 4
Horizontal Shift left π
x  
y  2 sec     3
4 4
1

y  2 sec   x      3
4

x  
y  2 sec     3
4 4
1

y  2 sec   x      3
4

H Shift
-π
π
3π
5π
7π
H Stretch
0
2π
4π
6π
8π
x
0
π/2
π
3π/2
2π
y
1
0
-1
0
1
sec x
1
Und
-1
Und
1
V Stretch V Shift
2
-1
Und
Und
-2
-5
Und
Und
2
-1
Asymptotes:   4 n
Range: (-, -5]  [-1, )
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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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Students will graph the reciprocal
trigonometric functions using
transformations.
Students will write equations of the
reciprocal trigonometric functions.
y= sin x
y = cos x
y = tan x
X
Y
X
Y
X
Y
0
0
0
1
-π/2
Und
π/2
1
π/2
0
-π/4
-1
Π
0
Π
-1
0
0
3π/2
-1
3π/2
0
π/4
1
2π
0
2π
1
π/2
Und
y = csc x
y = sec x
X
Y
1
-π/2
0
π/2
Und
-π/4
-1
Π
-1
0
Und
3π/2
Und
π/4
1
2π
1
π/2
0
X
Y
X
Y
0
Und
0
π/2
Π
3π/2
2π
1
Und
-1
Und
y = cot x
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Counting by 4

Counting by 6
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Hint:
Do any of the equations show a
horizontal shift?
Viewing Windows should be written as
follows:

  5 
 X axis:
 ,
 step
2
 2 2 
 Y axis:
 3, 3
step 1
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HW:
Be sure that you have 4 problems from the
graphing worksheet completed and checked.
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Tuesday: Review
Continue work in groups to complete the
matching exercise and writing equations from
graphs.
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Quiz: Wednesday 2/26
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