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1 of 10
Objectives:
1.
Evaluate
tangent, cotangent, secant, and
cosecant functions.
2.
Graph these functions.
 The

4 remaining trig functions can
be written in terms of sin and cos:

θ is a 2nd quadrant angle and
tan θ = -3/4, find the values of the
other 5 trig functions.

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

 If
 Find

the exact value of each (without
your unit circle!)

 tan

225

 csc

0

 sec

(-3π)
 Find

the exact value:
 tan π/2

 csc

7π/6
θ

-π
-3π/4
-π/2
-π/4
0
π/4
π/2
3π/4
π

tan θ
1

-1
 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.
7 5 the other trig functions

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7 5 the other trig functions