2.2 Reference Angles.notebook
September 20, 2011
2.2 Reference Angles
Sep 19­8:32 AM
An education isn't how much you have committed to memory, or even how much you know. It's being able to differentiate between what you know and what you don't.
Anatole France
Jun 6­12:36
2.2 Reference Angles.notebook
September 20, 2011
Recall how to graph angles on a coordinate system.
In #1) Mark the terminal side and the standard position.
Sep 19­8:33 AM
Sep 19­8:33 AM
2.2 Reference Angles.notebook
September 20, 2011
Sep 19­8:33 AM
Sep 19­8:33 AM
2.2 Reference Angles.notebook
September 20, 2011
Sep 19­8:33 AM
Definition: What is a reference angle?
The acute angle created from the terminal side of an angle and the x‐axis.
Find and label the reference angle in each of the nine graphs above.
Sep 19­8:37 AM
2.2 Reference Angles.notebook
September 20, 2011
2 <'s whose measure differs by 360o.
θ and φ are coterminal iff φ =θ + 360n (n is an integer)
Sep 19­8:37 AM
Show angles using degrees, minutes, and seconds.
60
60
Definition: 1 Degree = _____ minutes and 1 minute = _____ seconds
Sep 19­8:41 AM
2.2 Reference Angles.notebook
September 20, 2011
Find the reference angle for each.
ο
'
89 45
ο
' "
139 10 20
ο
'
­ 237 39
ο
' "
­ 498 48 13 Jun 9­9:52 AM
Exploration 2 – 2a: Reference Angles
Assignment: p 65‐66, QR 1 – 10, 1, 5, 9, 19, 21, 25, 27, 29, 30 Sep 19­8:43 AM