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