Name:____________________________________
Pre-Calculus Honors Unit 6 Lesson 10 Do Now
a.) Verbally describe the graphical transformation from the parent function.
b.) Find 5 basic points on the graph of the parent function and find the 5
corresponding points of the function given.
c.) Graph two periods of each function without using a graphing calculator. Use
your knowledge of transformations. Label your x and y scale.
d.) Find the period, amplitude, phase shift, and range of each function.

1
f ( x)  5  sin  x  
2
3
Pre-Calculus Honors
Book Reference 4.5
Unit 6 Lesson 10: The Graphs of the Secant and Cosecant Function
Objective:_____________________________________________________________________
1. Group Practice: The Graph of y = csc x
1. Sketch the graph of y = sin x ,  2  x  2 .Be accurate!
2. Complete the table to obtain points on the graph of y = csc x without using a calculator .
X
0

6

2
5
6

7
6
3
2
y=cscx
3. Use the grid above to sketch the graph of y = csc x in a different color.
4. Compare and contrast the graph of y = csc x and y = sin x.
5. Determine the period, the domain, and the range of the cosecant function.
Period
Domain
Range
6. Write an equation for the vertical asymptotes.
11
6
2
2. Group Practice: The Graph of y = sec x
1. Sketch the graph of y = cos x ,  2  x  2 . Be accurate!
2. Complete the table to obtain points on the graph of y = sec x without using a calculator.
x


2


0
3

3

2
2
3

4
3
y=secx
3. Use the grid above to sketch the graph of y = sec x in a different color.
4. Compare and contrast the graph of y = sec x and y = cos x.
5. Determine the period, the domain, and the range of the cosecant function.
Period
Domain
Range
6. Write an equation for the vertical asymptotes.
Pre-Calc Homework: Finish Classwork
3
2
5
3