1. Trigonometric Functions
4.6
Graphs of Other
Trigonometric Functions
csc, sec, tan, & cot
Graphing csc and sec is done by graphing its
reciprocal function first.

2. v.s. =
A =
P =
h.s. = 3 2
Graph y = csc
+ sin x 5 3 1
x-axis
Find the midpoint to locate y-axis.
Draw vert. asy.

3. What is the range and domain of y?
Domain: To find the domain of csc x , set what comes
after csc =

4. v.s = 2
h.s. =
y = 2 – 4 sec (4x )
y = 2 – 4 sec 4(x )
P =
A = 4 6 2
x-axis -2

5. Range:
To find the domain, set what comes after sec =

6. y = - tan x
y = tan x
Range: 1
Domain: set
whatever is
after the tan = -1

7. y = -3 tan 2x
Plug in –1, 0 and 1 for k to find vertical asymptotes.
v.a.’s at
Range:

8. y = cot x
Range:
Domain: set
whatever is
after the cot =
Plug in -1, 0, and 1 for k to find the v.a.’s
Period

9. Extra Sinusoid