slide1 n.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
Trigon function PowerPoint Presentation
Download Presentation
Trigon function

Loading in 2 Seconds...

play fullscreen
1 / 10

Trigon function - PowerPoint PPT Presentation


  • 103 Views
  • Uploaded on

Al- Wakra Secondary Independent Girls School. Science department. Trigon function. Name : Alaa Jalal & Somaia Fadile & Riham Sobhy Grade : 12 Class : 1 Subject : Math Title: : Trigon Supervisor : Miss. Sabah Rajab The date of submission : 5-5-2010.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Trigon function' - filia


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
slide1

Al-Wakra Secondary Independent Girls School

Science department

Trigon

function

Name :Alaa Jalal& SomaiaFadile

& RihamSobhy

Grade : 12

Class :1

Subject : Math

Title: :Trigon

Supervisor : Miss. Sabah Rajab

The date of submission : 5-5-2010

slide3

Dedication

certain people in the world are

special ,kind and giving

they bring sunshine and

happiness to the

lives of others in times of need

and they spread joy

and smiles wherever they go

my teacher is truly

someone special

thank you

is the right word

for right deed done.

2

slide4

Introduction

Trigonometric functions are often omitted in basic calculus courses for students not majoring in the mathematical sciences. However, the sine and cosine functions are extremely useful in modeling cyclical trends, such as the seasonal variation of demand for certain items, or the cyclical nature of recession and prosperity. The four sections we present here are designed with this in mind; we are concerned less with the geometry of triangles than on applications of the trigonometric functions in modeling real life situations.

and the definitions of the trigonometric functions give rise to the following fundamental identities:

3

slide5

** Angles of elevation and depression **

1. An observer in a blimp sights a football stadium at an angle of depression of 34 . The blimp’s altitude is 1600 ft. what is the horizontal distance from the blimp to the stadium? Round to the nearest foot.

90 – 34 = 56

Cos Ѳ = a / h

Cos 56 = 1600 / h

1600 / Cos 56 = Cos 56 (h) / Cos 56

1600 / Cos 56 = 2861.26

34

1600 ft

4

slide6

2. When the angle of elevation of the sun is 68 , a building casts a shadow that is 6 m long. What is the height of the building to the nearest tenth of a meter ?

tan Ѳ = o / a

Tan 78 = o / 6

O = tan 78 ×6 = 28.22

78

6 m

5

slide7

Two of the most important forms of trigonometry

Sin Ѳ = Opp / Hyp

Cos Ѳ = Adj / Hyp

The

measurement

6

slide9

Conclusion

Before I write about trigonometry, I would like to explain about the measurement of angles , A circle composed of 360 & 90 & 180 & 270 degrees, and The special angles are 30 , 45, 60 and 90 .

The trigonometry as seen in the previous there are six trigonometric functions. The two most important ones are sine and cosine. The others can be derived from these two functions. The trigonometric functions are based on the ratios between sides that exist in right triangles.

These operations benefit us in our daily lives and used in several areas such as building a house or to know a certain distance, etc.

  • … In the end, thank everyone who helped me, and I wish that the research will be useful for all and I apologize for all the shortening, Suffice it that I did not spare any effort in trying to reach the degree of perfection, but only God is perfect.
  • I wish always for your sincere affection and appreciation and ask God to help and guide.

8

slide10

References

1. http://www.sosmath.com/trig/Trig2/trig2/trig2.html

2. http://www.clarku.edu/~djoyce/trig/functions.html

3. http://mathsisinteresting.blogspot.com/2008/08/

negative-angles-used-in-trigonometric.html

1. Mathematics HL for inter national student , page 569 , chapter 8 , Angles of elevation and depression , 4 – 8 (1-2)

2. Schaum's Outline of Trigonometry Paperback

Author), Robert E. Moyer )Author) "A degree)

9