reference angles

Aim: What are reference angles? MB4311/21/08Lomas

HW: Read 651-660Do 660-1#9-29col,33-51col

Do Now: For each angle, estimate which quadrant.

a. θ = 145o b. θ = 256o c. θ = 309o

d. θ = 3 e. θ = 4

7 f. θ = 2

-3

cos θ = -1 3

Find the values for the other 5 trigonometric functions

1)

2)

Aim: What is the unit circle? MB4311/10/08Lomas

HW: Read 614-621Do 621 #1-7Read 621-624Do 624 #1,2,3,7,8

For each angle, estimate where andwhich quadrant it is located on the unit circle.

a. θ = 125o b. θ = 240o c. θ = 329o

d. θ = 6 e. θ = 45

f. θ = 2

-1

Aim: What is the unit circle? MB4311/10/08Lomas

HW: Read 614-621Do 621 #1-7Read 621-624Do 624 #1,2,3,7,8

The Unit Circleevery point on the circle is ONE UNIT

away from the center

x

y

P(x,y) or P(cos θ, sin θ)

θ(1,0)(-1,0)

(0,1)

(0,-1)

Aim: What is the unit circle? MB4311/10/08Lomas

HW: Read 614-621Do 621 #1-7Read 621-624Do 624 #1,2,3,7,8

What is theta?

What are the six trigonometric functions of theta?

Aim: What is the unit circle? MB4311/10/08Lomas

HW: Read 614-621Do 621 #1-7Read 621-624Do 624 #1,2,3,7,8

Main Event:The Unit Circle

Aim: What is the unit circle? MB4311/10/08Lomas

HW: Read 614-621Do 621 #1-7Read 621-624Do 624 #1,2,3,7,8