Alg2 Notes 10.3B.notebook
May 24, 2013
10­3B The Unit Circle *mixing it up a bit­ 10.3A on Monday, then move to 11­1 and call it good.
Skills we need
1. Find the exact value of each trigonometric function.
a. sin 60°
b. tan 45° c. cos 45° d. cos 60°
2
1
45o
60o
1
30o
1
2. If a circle has radius 1 and is centered at the origin, write the (x, y) coordinates of the x­ and y­intercepts.
Alg2 Notes 10.3B.notebook
May 24, 2013
Warm­up Answers
1. Find the exact value of each trigonometric function.
a. sin 60°
2
b. tan 45° c. cos 45° d. cos 60°
60o
1
1
45o
30
o
1
2. If a circle has radius 1 and is centered at the origin, write the (x, y) coordinates of the x­ and y­intercepts.
(0, 1)
(­1, 0)
(1, 0)
(0, ­1)
10­3B The Unit Circle Find the values of trigonometric functions on the unit circle. Used to evaluate trig functions
Alg2 Notes 10.3B.notebook
May 24, 2013
The Hypotenuse of 1 60o
1
1
y
y
45
o
30o
x
x
60o
45o
30o
Reference Angle Reminder Alg2 Notes 10.3B.notebook
Creating The Unit Circle
May 24, 2013
*give handout
(0, 1)
(­1, 0)
(1, 0)
(0, ­1)
60o
2
1
30o
1
45
o
1
The Completed Unit Circle
Alg2 Notes 10.3B.notebook
Using the Unit Circle 1. Use the unit circle to evaluate the following:
a. sin 210o b. tan 315o
May 24, 2013
Alg2 Notes 10.3B.notebook
May 24, 2013
2. Use the unit circle to evaluate the following:
a. csc 120o b. cot ­60o
TED Talks
*Technology, Entertainment, Design
TED Talks? I saw you didn't raise your hand...
http://www.ted.com/talks
The variable x, 3:57
http://www.ted.com/talks/terry_moore_why_is_x_the_unknown.html
Mathemagic, 15:18
http://www.ted.com/talks/arthur_benjamin_does_mathemagic.html
The art of puzzle making, 11:50
http://www.ted.com/talks/scott_kim_takes_apart_the_art_of_puzzles.html
Alg2 Notes 10.3B.notebook
10.3 Technology Lab p.706 #1­5 *in­class
10.3 p.711 #10, 11, 15, 28, 32, 58
May 24, 2013