Geometry 4/7/14 Obj: SWBAT use trig ratios Chapter 8 Take Home Test Agenda Bell Ringer: Go over Quiz...
-
Upload
primrose-bradford -
Category
Documents
-
view
215 -
download
0
Transcript of Geometry 4/7/14 Obj: SWBAT use trig ratios Chapter 8 Take Home Test Agenda Bell Ringer: Go over Quiz...
![Page 1: Geometry 4/7/14 Obj: SWBAT use trig ratios Chapter 8 Take Home Test Agenda Bell Ringer: Go over Quiz pg 450 #4-8 Homework Requests: pg 699 #1-4, pg 694.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f495503460f94c6b87e/html5/thumbnails/1.jpg)
Geometry 4/7/14 Obj: SWBAT use trig ratiosChapter 8 Take Home TestAgenda•Bell Ringer: Go over Quiz•pg 450 #4-8 •Homework Requests: pg 699 #1-4, pg 694 #1-14•Homework: •Chapter 8 Take Home Test; Due Thursday
Announcements:
![Page 2: Geometry 4/7/14 Obj: SWBAT use trig ratios Chapter 8 Take Home Test Agenda Bell Ringer: Go over Quiz pg 450 #4-8 Homework Requests: pg 699 #1-4, pg 694.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f495503460f94c6b87e/html5/thumbnails/2.jpg)
Introduction to TrigonometryFinding sides from angles
![Page 3: Geometry 4/7/14 Obj: SWBAT use trig ratios Chapter 8 Take Home Test Agenda Bell Ringer: Go over Quiz pg 450 #4-8 Homework Requests: pg 699 #1-4, pg 694.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f495503460f94c6b87e/html5/thumbnails/3.jpg)
Trigonometry is…• A branch of geometry used first by the
Egyptians and Babylonians (Iraq)
• Used extensively is astronomy and building
• Based on ratios between angles in RIGHT Triangles
![Page 4: Geometry 4/7/14 Obj: SWBAT use trig ratios Chapter 8 Take Home Test Agenda Bell Ringer: Go over Quiz pg 450 #4-8 Homework Requests: pg 699 #1-4, pg 694.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f495503460f94c6b87e/html5/thumbnails/4.jpg)
The ratios have names and abbreviations…
Ratio Name
sine
cosine
tangent
cotangent
secant
cosecant
Abbreviation
sin
cos
tan
cot
sec
csc
![Page 5: Geometry 4/7/14 Obj: SWBAT use trig ratios Chapter 8 Take Home Test Agenda Bell Ringer: Go over Quiz pg 450 #4-8 Homework Requests: pg 699 #1-4, pg 694.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f495503460f94c6b87e/html5/thumbnails/5.jpg)
The Trigonometric (trig) ratios: FUNCTION INVERSE FUNCTION
ac
bside adjacent to angle A
Sideoppositeangle A
hypotenuse
A
B
C
![Page 6: Geometry 4/7/14 Obj: SWBAT use trig ratios Chapter 8 Take Home Test Agenda Bell Ringer: Go over Quiz pg 450 #4-8 Homework Requests: pg 699 #1-4, pg 694.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f495503460f94c6b87e/html5/thumbnails/6.jpg)
Also true are…
![Page 7: Geometry 4/7/14 Obj: SWBAT use trig ratios Chapter 8 Take Home Test Agenda Bell Ringer: Go over Quiz pg 450 #4-8 Homework Requests: pg 699 #1-4, pg 694.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f495503460f94c6b87e/html5/thumbnails/7.jpg)
Here we name one angle Theta Is the Greek letter Theta
![Page 8: Geometry 4/7/14 Obj: SWBAT use trig ratios Chapter 8 Take Home Test Agenda Bell Ringer: Go over Quiz pg 450 #4-8 Homework Requests: pg 699 #1-4, pg 694.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f495503460f94c6b87e/html5/thumbnails/8.jpg)
We could ask for the trig functions of the angle by using the definitions.
a
b
c
You MUST get them memorized. Here is a mnemonic to help you.
The sacred Jedi word:
SOHCAHTOA
c
b
hypotenuse
oppositesin
adjacentcos
hypotenuse
a
c opposite
tanadjacent
b
a
opposite
adjacent
SOHCAHTOA
![Page 9: Geometry 4/7/14 Obj: SWBAT use trig ratios Chapter 8 Take Home Test Agenda Bell Ringer: Go over Quiz pg 450 #4-8 Homework Requests: pg 699 #1-4, pg 694.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f495503460f94c6b87e/html5/thumbnails/9.jpg)
If you know the sine, cosine, or tangent of an acute angle measure, you can use the inverse trigonometric functions to find the measure of the angle.
![Page 10: Geometry 4/7/14 Obj: SWBAT use trig ratios Chapter 8 Take Home Test Agenda Bell Ringer: Go over Quiz pg 450 #4-8 Homework Requests: pg 699 #1-4, pg 694.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f495503460f94c6b87e/html5/thumbnails/10.jpg)
![Page 11: Geometry 4/7/14 Obj: SWBAT use trig ratios Chapter 8 Take Home Test Agenda Bell Ringer: Go over Quiz pg 450 #4-8 Homework Requests: pg 699 #1-4, pg 694.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f495503460f94c6b87e/html5/thumbnails/11.jpg)
!IMPORTANT!
To solve trig functions in the calculator,
make sure to set your MODE to DEGREES
• Directions:
Press MODE, arrow down to Radian
Arrow over to Degrees
Press ENTER
![Page 12: Geometry 4/7/14 Obj: SWBAT use trig ratios Chapter 8 Take Home Test Agenda Bell Ringer: Go over Quiz pg 450 #4-8 Homework Requests: pg 699 #1-4, pg 694.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f495503460f94c6b87e/html5/thumbnails/12.jpg)
Example: Find the missing side lengths.
![Page 13: Geometry 4/7/14 Obj: SWBAT use trig ratios Chapter 8 Take Home Test Agenda Bell Ringer: Go over Quiz pg 450 #4-8 Homework Requests: pg 699 #1-4, pg 694.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f495503460f94c6b87e/html5/thumbnails/13.jpg)
![Page 14: Geometry 4/7/14 Obj: SWBAT use trig ratios Chapter 8 Take Home Test Agenda Bell Ringer: Go over Quiz pg 450 #4-8 Homework Requests: pg 699 #1-4, pg 694.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f495503460f94c6b87e/html5/thumbnails/14.jpg)
![Page 15: Geometry 4/7/14 Obj: SWBAT use trig ratios Chapter 8 Take Home Test Agenda Bell Ringer: Go over Quiz pg 450 #4-8 Homework Requests: pg 699 #1-4, pg 694.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f495503460f94c6b87e/html5/thumbnails/15.jpg)
You try:
• Find the hypotenuse length and the values of the 5 other trig functions for:
Hint: use a2 + b2 = c2 to find the hypotenuse!
![Page 16: Geometry 4/7/14 Obj: SWBAT use trig ratios Chapter 8 Take Home Test Agenda Bell Ringer: Go over Quiz pg 450 #4-8 Homework Requests: pg 699 #1-4, pg 694.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f495503460f94c6b87e/html5/thumbnails/16.jpg)
Did you get…
![Page 17: Geometry 4/7/14 Obj: SWBAT use trig ratios Chapter 8 Take Home Test Agenda Bell Ringer: Go over Quiz pg 450 #4-8 Homework Requests: pg 699 #1-4, pg 694.](https://reader030.fdocuments.in/reader030/viewer/2022032722/56649f495503460f94c6b87e/html5/thumbnails/17.jpg)
Why is this useful?
• Imagine being an Ancient Egyptian. They had no calculators, no computers. They could use one angle and a pyramid’s side length to find the other side lengths.