1. Trigonometric Graphing Day 2 Graphs

2. The other 4 Lets Remember Cot is the opp of? Csc is the opp of? Tan
Sec is the opp of?
Tan
Sin
Cos

3. How do trends hold here?
They will hold pretty much the same way – seeing shifts left, right, up, down and seeing changes in periodicity.

4. Basic Truths
The period of both y = sec x and y = csc x is 2π. (makes sense, right?)
The period of y = tan x and y = cot x is π.
We really don’t talk about amplitude of these four functions.

5. Cot x x y Graph does continue
Done same way has Tan Except Graph is REVERSED
Asymptote
Lets plot some points x y 1 -1

6. Graphing CSC x and Sec x
Csc is the opposite of Sin
Sec is the opposite of Cos
We will use the sin and cos graph to help us graph Csc and Sec.
Csc will have Asymptotes when Sin=0
Sec will have Asymptotes when Cos=0

7. Csc x
Lets draw the Sin gragh first x y
Csc
Asym 1 -1

8. Sec x
Lets do Cos x first x y 1
Sec Asym -1

9. Example
Convert to sin

10. Examples
Graph the following completely 1. 2. 3.
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