8-4 sine and cosine ratios 2011 - poudre school...
TRANSCRIPT
![Page 1: 8-4 Sine and Cosine Ratios 2011 - Poudre School Districtstaffweb.psdschools.org/kemotich/Mrs_Motichka... · find missing side lengths and angles in right triangles. 84 Sine and Cosine](https://reader031.vdocument.in/reader031/viewer/2022022522/5b31cc9a7f8b9ae1108bea2b/html5/thumbnails/1.jpg)
84 Sine and Cosine Ratios 2011
1
February 09, 2011
Feb 212:06 PM
8-4 Sine and Cosine RatiosObj: Use sine and cosine ratios to find missing side lengths and angles
in right triangles.
![Page 2: 8-4 Sine and Cosine Ratios 2011 - Poudre School Districtstaffweb.psdschools.org/kemotich/Mrs_Motichka... · find missing side lengths and angles in right triangles. 84 Sine and Cosine](https://reader031.vdocument.in/reader031/viewer/2022022522/5b31cc9a7f8b9ae1108bea2b/html5/thumbnails/2.jpg)
84 Sine and Cosine Ratios 2011
2
February 09, 2011
Feb 22:18 PM
1.Write the tangent ratios for A and B
2. Find the value of: the side opposite Bhypotenuse
Warm-Up
3. Find the value of x. Round to the nearest tenth.
![Page 3: 8-4 Sine and Cosine Ratios 2011 - Poudre School Districtstaffweb.psdschools.org/kemotich/Mrs_Motichka... · find missing side lengths and angles in right triangles. 84 Sine and Cosine](https://reader031.vdocument.in/reader031/viewer/2022022522/5b31cc9a7f8b9ae1108bea2b/html5/thumbnails/3.jpg)
84 Sine and Cosine Ratios 2011
3
February 09, 2011
Feb 22:32 PM
Remember this...?
tan(A)Opposite
Adjacent
AOpposite
Adjacenttan-1 ( )
Today we will look at other ratios found in triangles
![Page 4: 8-4 Sine and Cosine Ratios 2011 - Poudre School Districtstaffweb.psdschools.org/kemotich/Mrs_Motichka... · find missing side lengths and angles in right triangles. 84 Sine and Cosine](https://reader031.vdocument.in/reader031/viewer/2022022522/5b31cc9a7f8b9ae1108bea2b/html5/thumbnails/4.jpg)
84 Sine and Cosine Ratios 2011
4
February 09, 2011
Feb 22:32 PM
(AOpposite
Hypotenusesin-1 )
The Sine Ratio
![Page 5: 8-4 Sine and Cosine Ratios 2011 - Poudre School Districtstaffweb.psdschools.org/kemotich/Mrs_Motichka... · find missing side lengths and angles in right triangles. 84 Sine and Cosine](https://reader031.vdocument.in/reader031/viewer/2022022522/5b31cc9a7f8b9ae1108bea2b/html5/thumbnails/5.jpg)
84 Sine and Cosine Ratios 2011
5
February 09, 2011
Feb 22:32 PM
(AAdjacent
Hypotenusecos-1 )
The Cosine Ratio
![Page 6: 8-4 Sine and Cosine Ratios 2011 - Poudre School Districtstaffweb.psdschools.org/kemotich/Mrs_Motichka... · find missing side lengths and angles in right triangles. 84 Sine and Cosine](https://reader031.vdocument.in/reader031/viewer/2022022522/5b31cc9a7f8b9ae1108bea2b/html5/thumbnails/6.jpg)
84 Sine and Cosine Ratios 2011
6
February 09, 2011
Feb 22:36 PM
These are our three trig ratios.
In Greek, it literally means
"triangle measurement".
![Page 7: 8-4 Sine and Cosine Ratios 2011 - Poudre School Districtstaffweb.psdschools.org/kemotich/Mrs_Motichka... · find missing side lengths and angles in right triangles. 84 Sine and Cosine](https://reader031.vdocument.in/reader031/viewer/2022022522/5b31cc9a7f8b9ae1108bea2b/html5/thumbnails/7.jpg)
84 Sine and Cosine Ratios 2011
7
February 09, 2011
Feb 23:40 PM
How are we going to remember these?
SOH
CAH
TOA
![Page 8: 8-4 Sine and Cosine Ratios 2011 - Poudre School Districtstaffweb.psdschools.org/kemotich/Mrs_Motichka... · find missing side lengths and angles in right triangles. 84 Sine and Cosine](https://reader031.vdocument.in/reader031/viewer/2022022522/5b31cc9a7f8b9ae1108bea2b/html5/thumbnails/8.jpg)
84 Sine and Cosine Ratios 2011
8
February 09, 2011
Mar 511:25 AM
Find the value of y:
23
y
300
Step 1: Which trig. ratio should you use?
Step 2: Set up a ratio.
Step 3: Solve.
![Page 9: 8-4 Sine and Cosine Ratios 2011 - Poudre School Districtstaffweb.psdschools.org/kemotich/Mrs_Motichka... · find missing side lengths and angles in right triangles. 84 Sine and Cosine](https://reader031.vdocument.in/reader031/viewer/2022022522/5b31cc9a7f8b9ae1108bea2b/html5/thumbnails/9.jpg)
84 Sine and Cosine Ratios 2011
9
February 09, 2011
Mar 511:31 AM
Find the value of x:
6 3
12X
0
Step 1: Which trig. ratio should you use?
Step 2: Set up a ratio.
Step 3: Solve.
![Page 10: 8-4 Sine and Cosine Ratios 2011 - Poudre School Districtstaffweb.psdschools.org/kemotich/Mrs_Motichka... · find missing side lengths and angles in right triangles. 84 Sine and Cosine](https://reader031.vdocument.in/reader031/viewer/2022022522/5b31cc9a7f8b9ae1108bea2b/html5/thumbnails/10.jpg)
84 Sine and Cosine Ratios 2011
10
February 09, 2011
Feb 2711:38 AM
Find the sine and cosine ratio of each angle.
sin(T) =
cos(T) =
sin(G) =
cos(G) =
![Page 11: 8-4 Sine and Cosine Ratios 2011 - Poudre School Districtstaffweb.psdschools.org/kemotich/Mrs_Motichka... · find missing side lengths and angles in right triangles. 84 Sine and Cosine](https://reader031.vdocument.in/reader031/viewer/2022022522/5b31cc9a7f8b9ae1108bea2b/html5/thumbnails/11.jpg)
84 Sine and Cosine Ratios 2011
11
February 09, 2011
Feb 23:01 PM
pg. 441 #1-9, 11-17 odd, 26, 41-43
Homework