Trig

1
Trig In a Nutshell

• Help Im trapped in a nutshell

2
The Unit Circle
(0,1)
,
-,
(1,0)
(-1,0)
-,-
,-
(0,-1)
3
Terminal ray

?
-
4
These are the reference triangles
5
Trigonometric Functions
r
y
?
x
6
The Identities
7

• Lets go graphing
• p.s. are cos x and sin x odd or even functions?

8

• d?
• Move graph ?
• c?
• Moves graph ?
• a?
• Changes Amplitude
• b?
• Changes Period ?

9
Graphing Trig Functions (my method)

• Sin/Cos
• 1. Determine New Start
• Set Argument 0
• Determine New End
• Set Argument 2p (or New Start
  Period)
• 3. Find 3 midpoints
• 4. Plot these 5 points

10
Graphing Trig Functions (my method)

• 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.

11
Angle Addition Formulas
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Double/Half Angle
13
Double/Half Angle
Law of Cosines
14
Inverse Trig

• For sin-1x, csc-1x, tan-1x
• QI or QIV (go clockwise!)
• For cos-1x, sec-1x, cot-1x
• QI or QII