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Investigation 8A Bl 2.notebook 1 December 12, 2012 Nov 287:15 AM WARM UP :Read and take notes on page 682 - 683 as necessary. If this is something you do not remember, you need to do p686 7-15, tonight Nov 287:15 AM Nov 287:16 AM Nov 287:16 AM Nov 287:16 AM May 47:17 AM

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Page 1: Investigation 8A Bl 2.notebook · 2012. 12. 12. · Investigation 8A Bl 2.notebook 11 December 12, 2012 May 87:11 AM May 87:12 AM May 87:14 AM Dec 18:00 PM 1. Draw a circle with a

Investigation 8A Bl 2.notebook

1

December 12, 2012

Nov 28­7:15 AM

WARM UP :Read and take notes on page 682 - 683 as necessary. If this is something you do not remember, you need to do p686 7-15, tonight

Nov 28­7:15 AM

Nov 28­7:16 AM Nov 28­7:16 AM

Nov 28­7:16 AM May 4­7:17 AM

Page 2: Investigation 8A Bl 2.notebook · 2012. 12. 12. · Investigation 8A Bl 2.notebook 11 December 12, 2012 May 87:11 AM May 87:12 AM May 87:14 AM Dec 18:00 PM 1. Draw a circle with a

Investigation 8A Bl 2.notebook

2

December 12, 2012

May 4­7:17 AM Nov 28­7:17 AM

What can you tell me if the cos(Θ)=5/13 ?What about the triangle?What about the hypotenuse? the legs?What about sin(θ) tan(θ)? What about θ?

May 4­8:02 AM

What happens if we are not in the first quadrant?

Nov 28­7:20 AM

Nov 28­7:20 AM Dec 3­10:08 AM

Page 3: Investigation 8A Bl 2.notebook · 2012. 12. 12. · Investigation 8A Bl 2.notebook 11 December 12, 2012 May 87:11 AM May 87:12 AM May 87:14 AM Dec 18:00 PM 1. Draw a circle with a

Investigation 8A Bl 2.notebook

3

December 12, 2012

Nov 28­7:20 AM Nov 29­7:47 AM

What is this measuring?What part of Paul's position?

Nov 28­3:12 PM Nov 28­3:13 PM

Nov 28­3:13 PM Nov 28­3:13 PM

Page 4: Investigation 8A Bl 2.notebook · 2012. 12. 12. · Investigation 8A Bl 2.notebook 11 December 12, 2012 May 87:11 AM May 87:12 AM May 87:14 AM Dec 18:00 PM 1. Draw a circle with a

Investigation 8A Bl 2.notebook

4

December 12, 2012

Dec 4­9:23 AM Dec 4­9:41 AM

May 4­7:31 AM May 4­7:32 AM

May 4­7:34 AM

p695

May 4­7:32 AM

p691 (14-16,19,20)p695(1,4,7,8a,8b,8e,10-13)

Page 5: Investigation 8A Bl 2.notebook · 2012. 12. 12. · Investigation 8A Bl 2.notebook 11 December 12, 2012 May 87:11 AM May 87:12 AM May 87:14 AM Dec 18:00 PM 1. Draw a circle with a

Investigation 8A Bl 2.notebook

5

December 12, 2012

May 7­7:28 AM May 7­7:29 AM

May 7­7:29 AM Dec 1­6:52 PM

May 7­7:29 AM May 7­7:29 AM

Page 6: Investigation 8A Bl 2.notebook · 2012. 12. 12. · Investigation 8A Bl 2.notebook 11 December 12, 2012 May 87:11 AM May 87:12 AM May 87:14 AM Dec 18:00 PM 1. Draw a circle with a

Investigation 8A Bl 2.notebook

6

December 12, 2012

Dec 4­10:20 AM May 7­7:30 AM

p697

Dec 1­6:54 PM Dec 1­4:57 PM

Warm Up 1. Write the Pythagorean theorem2. Divide both sides by c3. Replace the ratios with its trigonometric name.Write the statement!

Nov 28­7:19 AM

p685

May 8­7:21 AM

Page 7: Investigation 8A Bl 2.notebook · 2012. 12. 12. · Investigation 8A Bl 2.notebook 11 December 12, 2012 May 87:11 AM May 87:12 AM May 87:14 AM Dec 18:00 PM 1. Draw a circle with a

Investigation 8A Bl 2.notebook

7

December 12, 2012

May 8­7:21 AM May 8­7:22 AM

May 7­7:32 AM

p699

If Cos 20 =.940, find

Co terminal Angles

Nov 28­3:14 PM

p700

Nov 28­3:16 PM Nov 28­3:16 PM

Page 8: Investigation 8A Bl 2.notebook · 2012. 12. 12. · Investigation 8A Bl 2.notebook 11 December 12, 2012 May 87:11 AM May 87:12 AM May 87:14 AM Dec 18:00 PM 1. Draw a circle with a

Investigation 8A Bl 2.notebook

8

December 12, 2012

Nov 28­3:17 PM May 7­7:30 AM

p697

Dec 6­9:41 AM Dec 6­9:53 AM

May 8­7:10 AM

p697

May 8­7:10 AM

p697

Page 9: Investigation 8A Bl 2.notebook · 2012. 12. 12. · Investigation 8A Bl 2.notebook 11 December 12, 2012 May 87:11 AM May 87:12 AM May 87:14 AM Dec 18:00 PM 1. Draw a circle with a

Investigation 8A Bl 2.notebook

9

December 12, 2012

May 8­7:10 AM

p697

Dec 1­5:31 PM

Homeworkp 701, 1,2,5-8,13,17,20

May 8­7:10 AM

p701

May 8­7:10 AM

May 8­7:11 AM

p701

May 8­7:11 AM

p701

Page 10: Investigation 8A Bl 2.notebook · 2012. 12. 12. · Investigation 8A Bl 2.notebook 11 December 12, 2012 May 87:11 AM May 87:12 AM May 87:14 AM Dec 18:00 PM 1. Draw a circle with a

Investigation 8A Bl 2.notebook

10

December 12, 2012

May 8­7:11 AM

WARM UP... Negative Angles? page 701

sin 150 cos 210 sin 225 sin 240

cos(-135) cos(135) tan(270) tan(720)

Find The exact values (NO calculators please)

Nov 29­8:51 AM

What about negative angles?Consider the following...sin(-30o) cos(-30o)sin(-330o) cos(-330o)

May 8­7:10 AM

p701

Dec 1­7:03 PM

May 8­7:12 AM

page 702Quick: Check Your Understanding

9.

Dec 1­7:37 PM

Page 11: Investigation 8A Bl 2.notebook · 2012. 12. 12. · Investigation 8A Bl 2.notebook 11 December 12, 2012 May 87:11 AM May 87:12 AM May 87:14 AM Dec 18:00 PM 1. Draw a circle with a

Investigation 8A Bl 2.notebook

11

December 12, 2012

May 8­7:11 AM May 8­7:12 AM

May 8­7:14 AM Dec 1­8:00 PM

1. Draw a circle with a radius of r2. Pick a points on the circle and label (x,y) 3. Now give the coordinates of the point in terms of the angle q (Hint drop a line perpendicular to from the point to the x axis to draw a triangle)4. x =     y = 5. Write the equation of all circles with a radius of r. 6. Use #4 to create a new equation.7. Divide by r2

(x,y)

Nov 30­7:49 AM Dec 1­7:17 PM

Page 12: Investigation 8A Bl 2.notebook · 2012. 12. 12. · Investigation 8A Bl 2.notebook 11 December 12, 2012 May 87:11 AM May 87:12 AM May 87:14 AM Dec 18:00 PM 1. Draw a circle with a

Investigation 8A Bl 2.notebook

12

December 12, 2012

May 8­7:15 AM

Pythagorean identity????

Dec 1­8:31 PM

Nov 28­7:21 AM

FIND SOME EXACT VALUES...WITHOUT A CALC PLEASE...

a.) sin225o b.) cos330o c.) tan 120o

Warm UP

Dec 1­7:41 AM

Food for thought...

Solve: cosB=1/2

Simplify the following identity

sin btan b

Dec 5­1:57 PM Dec 5­1:57 PM

Page 13: Investigation 8A Bl 2.notebook · 2012. 12. 12. · Investigation 8A Bl 2.notebook 11 December 12, 2012 May 87:11 AM May 87:12 AM May 87:14 AM Dec 18:00 PM 1. Draw a circle with a

Investigation 8A Bl 2.notebook

13

December 12, 2012

Nov 30­7:49 AM

p 709

Dec 1­7:43 AM

Dec 1­7:43 AM Dec 1­7:44 AM

Nov 30­7:50 AM May 9­7:49 AM

Page 14: Investigation 8A Bl 2.notebook · 2012. 12. 12. · Investigation 8A Bl 2.notebook 11 December 12, 2012 May 87:11 AM May 87:12 AM May 87:14 AM Dec 18:00 PM 1. Draw a circle with a

Investigation 8A Bl 2.notebook

14

December 12, 2012

May 9­8:52 AM Dec 1­9:26 PM

Homework p 706 (#3-5,8)p711 5,6,8-11,14

Dec 5­1:55 PM May 8­7:15 AM

Dec 5­1:12 PM

p706 #14Angle Sine a cosine a tan a

0 30

456090

120 135 150 180 210 225 240 270 300 315 330 360

Dec 1­3:44 PM

Page 15: Investigation 8A Bl 2.notebook · 2012. 12. 12. · Investigation 8A Bl 2.notebook 11 December 12, 2012 May 87:11 AM May 87:12 AM May 87:14 AM Dec 18:00 PM 1. Draw a circle with a

Investigation 8A Bl 2.notebook

15

December 12, 2012

Dec 1­9:10 PM May 10­7:09 AM

Dec 7­9:51 AM Dec 1­3:44 PM

Dec 1­9:30 PM Dec 1­3:44 PM

Page 16: Investigation 8A Bl 2.notebook · 2012. 12. 12. · Investigation 8A Bl 2.notebook 11 December 12, 2012 May 87:11 AM May 87:12 AM May 87:14 AM Dec 18:00 PM 1. Draw a circle with a

Investigation 8A Bl 2.notebook

16

December 12, 2012

May 10­7:10 AM Dec 1­3:47 PM

WARM UP...1.) Find the height of an equilateral triangle with a side length of 1.

2.) Find the area of a right isosceles triangle that has a hypotenuse of 1.

3.) Complete (1-5)p715

EXACT VALUES ONLY PLEASE

Dec 1­3:55 PM

p715

Dec 1­3:52 PM

3.) How do the two previous problems relate to the chart on page 716???

Dec 1­3:43 PM

Great Test Question... Evaluate: cos3(45o) +cos(45o)sin2(45o)

You have only thirty seconds...GO GO GO GO

OR

May 10­8:13 AM

Page 17: Investigation 8A Bl 2.notebook · 2012. 12. 12. · Investigation 8A Bl 2.notebook 11 December 12, 2012 May 87:11 AM May 87:12 AM May 87:14 AM Dec 18:00 PM 1. Draw a circle with a

Investigation 8A Bl 2.notebook

17

December 12, 2012

Dec 2­10:30 AM