GRAPHING SECANT AND COSECANT
y = csc x
y = sec x
A) Where does y = csc x have vertical asymptotes?
A) Where does y = sec x have vertical asymptotes?
B) What is the domain of the function?
B) What is the domain of the function?
C) What is the range of the function?
C) What is the range of the function?
D) Would the cosecant function be considered
periodic? If so, what is the period?
D) Would the secant function be considered
periodic? If so, what is the period?
E) Would the cosecant function be considered even
or odd (or neither)? Explain.
E) Would the secant function be considered even
or odd (or neither)? Explain.
Sketch the following functions. State the location of the asymptotes, and write the domain
and range of each.
1. f(x) = 2csc x – 1
2. f(x) = -sec (x +

y

2
)


y

x








x












Name___________________________________Date__________________Per_________
SECANT AND COSECANT
Locate the vertical asymptotes and graph two periods of the function. State the domain and
range of the function. Pay close attention to the labels on the x-axis.
1. f(x) = csc 2x
2. f(x) = -2sec x

y

y


x








x









Domain: _____________
Domain: _____________
Range: _________
Range: _________
3. f(x) = 3sec (½ x)



4. f(x) = 3csc x
y
y




x








x









Domain: _____________
Domain: _____________
Range: _________
Range: _________



Review for quiz
Describe the transformations applied to each of the following functions. DO NOT GRAPH.
6. y = -4sin 2 x
5. y = cos 3x
3
7. y = 1.5cos(4(x + 5))
8.
9.
10. Write two equations for the graph below, one in terms of sine and one in terms of cosine.
y

x




