sin 330
(C, D)
cos 270
(P, Q)
sin 170
(A, B)
cos 240
sin 80
(H, K)
(L, M)
cos 330
sin 30
(U, V)
cos 390
1
Warm Up
The ordered pair (6, 8) lies on the terminal arm of an angle. Determine the 6 trig ratios of this angle
2
Quadrants
90
Sketching Angles
If the angle is positive rotate counterclockwise. If the angle is negative rotate clockwise .What do you notice about "a" and "d"?
1
2
180
3
4
0
360
270
a)
c)
240
b)
50
d)
120
­310
3
Coterminal Angles
Angles that share the same terminal side/terminal arm are said to be coterminal
To find other coterminal angles we can use the following formula:
where k is a constant ex. 2, 3, ­2, etc.
Find an angle coterminal to 50 4
Principal Angles
Ex: 13784
1) Divide By 360 (how many rotations??)
2) Get rid of # of full rotations
3) Mulitply decimal by 360 to find principal angle
Try These!
139275
­27342
5
6
Special Angles
I. MEMORIZE THESE DIAGRAMS!!!
30
2
60
1
7
Special Angles
MEMORIZE THESE DIAGRAMS!!!
II.
1
1
8
MEMORIZE THESE DIAGRAMS!!!
III. Quadrantal Angles (Multiples of 90o)
Unit Circle
9