logging in or signing up TRIGONOMETRY IN REAL LIFE aSGuest49254 Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: Embed: Flash iPad Copy Does not support media & animations WordPress Embed Customize Embed URL: Copy Thumbnail: Copy The presentation is successfully added In Your Favorites. Views: 18329 Category: Education License: All Rights Reserved Like it (16) Dislike it (3) Added: June 17, 2010 This Presentation is Public Favorites: 8 Presentation Description No description available. Comments Posting comment... By: Nilesh6500 (22 month(s) ago) Aewsome slideshow man...!! Thanx a lot dude...!! U just now saved a life... I mean two...!! :D :D :D Saving..... Post Reply Close Saving..... Edit Comment Close Premium member Presentation Transcript TRIGONOMETRY IN : TRIGONOMETRY IN BHARAT BIJUKUMAR CLASS : X - A USE OF REAL LIFE WHAT IS TRIGONOMETRY? : WHAT IS TRIGONOMETRY? Trigonometry in basic words is the mathematics of triangles and trigonometric functions. The word “Trigonometry” comes from the Greek words: ‘Trigonon’ meaning ‘triangle’ and ‘metron’ meaning a ‘measure’. In a broader sense, trigonometry is that branch if mathematics which deals with the measurement of the sides and the angles of a triangle and the problems allied with angles. ORIGIN OF ‘SINE’ : ORIGIN OF ‘SINE’ The first use of the idea of ‘sine’ in the way we use it today was in the work Aryabhatiyam by Aryabhata in A.D. 500. Aryabhata used the word ‘ardha-jya’ for the half chord which came to be known as ‘jiva’ in due course. Later, ‘jiva’ came to be known as ‘sinus’ and later as ‘sine’. An English Professor Edmund Gunter (1581-1626) first used the abbreviated notation ‘sin’ . “Trigonometry is not the work of any one person or nation. Its history spans thousands of years and has touched every major civilization.” Aryabhata A.D. 476-550 Slide 4: The origin of the terms ‘cosine’ and ‘tangent’ was much later. The cosine function arose from the need to compute the sine of the complementary angle. Aryabhata called ‘kotijya’. The name cosinus originated with Edmund Gunter. In 1674, the English Mathematician Sir Jonas Moore first used the abbreviated notation ‘cos’ COSINE AND TANGENT Edmund Gunter (1581 –1626) THE TRIGONOMETRIC RATIOS : THE TRIGONOMETRIC RATIOS Note: The formulas provided are in respect to the picture. The Cosecant, Secant, and Cotangent are the Reciprocals of the Sine, Cosine,and Tangent respectively . THE TRIGONOMETRIC VALUES : THE TRIGONOMETRIC VALUES HOW TO USE TRIGONOMETRY IN REAL LIFE ? : HOW TO USE TRIGONOMETRY IN REAL LIFE ? Objective : To find the angle of elevation of a room . Knowledge Required : 1.Trigonometric Ratios 2. Trigonometric Values (acute angles) Materials Required : 1. A meter stick 2. A measuring tape The project given is elaborated as follows: PERFORMING THE TASK !! : PERFORMING THE TASK !! Take the meter stick and put it horizontally on the wall to measure the length . Now, with the help of an adult measure the diagonal distance (hypotenuse) of your room. Record the length in centimeters and convert it into meters. Take the ratio of the length of the stick to the diagonal distance to your room. Use the trigonometric ratios to find out the angle of elevation of your room !! THE MUCH AWAITED RESULT : THE MUCH AWAITED RESULT I performed the activity mentioned and since I took the ratio of wall to the diagonal my ratio was as follows : Perpendicular (opposite) Hypotenuse We already know that this value is equal to sin. Now the values I got were: Perpendicular = 6 mts. Hypotenuse = 12mts. THERE’S THE ANSWER!!! : THERE’S THE ANSWER!!! Sin A = Perpendicular Hypotenuse = 6 (Putting the Values) 12 Sin A = 1 2 Sin A = Sin 30o Angle of Elevation = 30o Slide 11: THANK YOU You do not have the permission to view this presentation. In order to view it, please contact the author of the presentation.