1. The document discusses evaluating and graphing tangent, cotangent, secant, and cosecant functions by relating them to sine and cosine. 2. It provides examples of finding the values of these functions given specific angle measures, including tan 225, csc 0, and sec (-3π). 3. Graphical properties of the secant function are outlined, such as it being undefined where cosine is 0 and getting larger as the absolute value of cosine gets smaller.

1. Objectives:
1.
Evaluate
tangent, cotangent, secant, and
cosecant functions.
2.
Graph these functions.

2.  The
4 remaining trig functions can
be written in terms of sin and cos:

3. 

4. θ is a 2nd quadrant angle and
tan θ = -3/4, find the values of the
other 5 trig functions.
 If

5. and -90 < θ <
90 , find the other 5 trig functions.
 If

6.  Find
the exact value of each (without
your unit circle!)
 tan
225
 csc
0
 sec
(-3π)

7.  Find
the exact value:
 tan π/2
 csc
7π/6

8. θ
-π
-3π/4
-π/2
-π/4
0
π/4
π/2
3π/4
π
tan θ
1
-1

9.  Obtained
1.
2.
3.
4.
from the cosine graph:
sec θ = 1 where cos θ = 1
sec θ = -1 where cos θ = -1
sec θ is undef. where cos θ = 0
|sec θ| gets larger as |cos θ| gets
smaller.