6-3 Trigonometric Graphing

1
6-3 Trigonometric Graphing

• Day 2
• Mrs. Cassidy could we please see the others?
  Please please please

2
The other 4

• Get your chart out again!
• Graph y tan x
• Graph y cot x
• Graph y sec x
• Graph y csc x

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.
• Lets look at the following graphs

4
Basic Truths

• The period of both y sec x and y csc x is 2p.
  (makes sense, right?)
• The period of y tan x and y cot x is p.
• We really dont talk about amplitude of these
  four functions.

5
My Method for Tan/Cot/Sec/Csc

• Determine 3 New Asymptotes
• Set Argument Old Asymptotes
• and solve for x
• Find 2 midpoints
• Plot these 2 points
• Sketch the functions according to what they
  looked like before.

6
Examples

• Graph the following completely
• 1.
• 2.
• 3.