1. Dave's Short Course In Trigonometry trigonometry for you; Your background; How to learn trigonometry. Applications oftrigonometry. Astronomy and geography; Engineering and physics http://aleph0.clarku.edu/~djoyce/java/trig/

Dave's Short Trig Course Table of Contents Who should take this course? Trigonometry for you Your background How to learn trigonometry Applications of trigonometry Astronomy and geography Engineering and physics Mathematics and its applications What is trigonometry? Trigonometry as computational geometry Angle measurement and tables Background on geometry The Pythagorean theorem An explanation of the Pythagorean theorem Similar triangles Angle measurement The concept of angle Radians and arc length Exercises, hints, and answers About digits of accuracy Chords What is a chord? Trigonometry began with chords Sines The relation between sines and chords The word "sine" Sines and right triangles The standard notation for a right triangle Exercises, hints, and answers Cosines Definition of cosine Right triangles and cosines The Pythagorean identity for sines and cosines Sines and cosines for special common angles Exercises, hints, and answers Tangents and slope The definition of the tangent Tangent in terms of sine and cosine Tangents and right triangles Slopes of lines Angles of elevation and depression Common angles again Exercises, hints, and answers

2. Trigonometry : Trigonometric Functions & Identities In Math Three comprehensive modules from Syvum. Each includes theory and explanation, along with practice exercises. http://www.syvum.com/math/trigonometry.html

K-12 GMAT GRE SAT ... Sign off document.writeln(''); Search Syvum web site for information or quizzes of your interest. document.writeln('Example: '+randomSyvumTip[randomSyvumTipNumber]+''); document.writeln(''); ES.Syvum.com in Spanish BR.Syvum.com in Portuguese Suppress Pop-ups Customize Colors Online Translation - Dictionary Translation Services ... Trivia Contest! Trigonometry Table of Contents Title Trigonometry Module 1: Trigonometric Functions Sin, Cos and Tan Functions Cosec, Sec and Cot Functions Practice Exercise for Trigonometry Module 1: Trigonometric Functions ... Portuguese / Português document.write(''); Contact Info

3. Basic Trigonometry Cosine, sine and tangent are defined. The Pythagorean theorem is illustrated as well the number of degrees in a many sided figure. http://abe.www.ecn.purdue.edu/~agen215/trig.html

BASIC TRIGONOMETRY THE RIGHT TRIANGLE For a triangle to be called a right triangle , one of the interior angles must be 90 degrees. The sum of the interior angles must be 180 degrees , as with all triangles. TRIGONOMETRIC FUNCTIONS PYTHAGOREAN THEOREM Given the length of the side opposite and the side adjacent of a right triangle, the hypotenuse can be calculated by the following formula: You can actually find any third side of a triangle, if the other two sides are known. SUM OF INTERIOR ANGLES If "n" is the number of vertices (corners) of a closed shape, the sum of the interior angles can be found by: What is the sum of the interior angles for the fourth shape above? Because it has four vertices, (4-2) * 180 = 360 degrees, like any four-sided shape. GRADE AND PERCENT GRADE To calculate the grade, use the following formula: For this example, the grade equals (25/500) = 0.05 The percent grade equals (25/500) * 100 = 5% CONVERTING MAP AREA TO FIELD AREA If you are dealing with an area, in which the unit is square feet, or some such unit, you must square the scale of the map to calculate the proper area. Field Area = Map Area * (Map Scale)^2 So if the map has a scale of 1 in. = 2000 ft., and you measure a field to have a map area of 7.0 square inches, the total area is:

4. An Introduction To TRIGONOMETRY Definitions, basics, functions, and other concepts necessary to understand basictrigonometry. http://www.ping.be/~ping1339/gonio.htm

An introduction to TRIGONOMETRY Definitions and basics Trigonometric circle and angles Trigonometric numbers of a real number t Basic formulas ... Calculations with inverse trigonometric functions Definitions and basics Trigonometric circle and angles Take an x-axis and an y-axis (orthonormal) and let O be the origin. A circle centered in O and with radius = 1, is called a trigonometric circle or unit circle. Turning counterclockwise is the positive orientation in trigonometry. Angles are measured starting from the x-axis. Two units to measure an angle are degrees and radians An orthogonal angle = 90 degrees = pi/2 radians In this theory we use mainly radians. With each real number t corresponds just one angle, and just one point P on the unit circle, when we start measuring on the x-axis. We call that point the image point of t. Examples: with pi/6 corresponds the angle t and point P on the circle. with -pi/2 corresponds the angle u and point Q on the circle. Trigonometric numbers of a real number t With t radians corresponds exactly one point p on the unit circle.

5. Trigonometry Introduction to trigonometry. Includes links to trigbased animations and definitions. http://fergusmurray.members.beeb.net/trig.htm

Note : I need help from people interested in/teaching/learning about waves! Please follow this link or see below for details. What is Trigonometry? Trigonometry is the branch of mathematics that deals with triangle s, circle s, oscillation s and waves ; it is absolutely crucial to much of geometry and physics . You'll often hear it described as if it was all about triangles, but I think that is missing much of the point. Waves and resonance are at the root of how matter works at the most fundamental level ; they are behind how sound and light move, and probably also how mind s and beauty work, on some level; so trigonometry turns out to be fundamental to pretty much everything. Any time you want to figure out anything to do with angle s, or turning, or swinging , there's trigonometry involved. The first thing to understand with trigonometry is why the mathematics of right-angled triangles should also be the mathematics of circles. Picture a line which can turn around one of its ends, like the hand of a

6. Trigonometry Introduction to trigonometric functions, identities, and formulas. http://www.acts.tinet.ie/trigonometry_645.html

Prev Next Home ] Created 7/7/96 by jevans@tinet.ie Trigonometry A listing of material is given below. Other tutorial materials in English and Maths are available at www.mimesis.net Introduction Radian Measure Trig. ratios for acute angles ... Trigonometry of the triangle -Surface Links- Core Resources by Topic - Core and Options LC - Higher Level Leaving Certificate Mathematics ... Home

7. Dave's Short Course In Trigonometry Who should take this course? trigonometry for you Your background trigonometry as computational geometry Angle measurement and tables http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

8. What Is Trigonometry trigonometry began as the computational component of geometry. If there isanything that distinguishes trigonometry from the rest of geometry, http://aleph0.clarku.edu/~djoyce/java/trig/what.html

What is trigonometry? Trigonometry as computational geometry Angle measurement and tables If there is anything that distinguishes trigonometry from the rest of geometry, it is that trig depends on angle measurement and quantities determined by the measure of an angle. Of course, all of geometry depends on treating angles as quantities, but in the rest of geometry, angles aren't measured, they're just compared or added or subtracted. Trigonometric functions such as sine, cosine, and tangent are used in computations in trigonometry. These functions relate measurements of angles to measurements of associated straight lines as described later in this short course. Trig functions are not easy to compute like polynomials are. So much time goes into computing them in ancient times that tables were made for their values. Even with tables, using trig functions takes time because any use of a trig function involves at least one multiplication or division, and, when several digits are involved, even multiplication and division are slow. In the early 17th century computation sped up with the invention of logarithms and soon after slide rules. With the advent of calculators computation has become easy. Tables, logarithms, and slide rules aren't needed in trigonometric computations. All you have to do is enter the numbers and push a few buttons to get the answer. One of the things that used to make learning trig difficult was performing the computations. That's not a problem anymore!

9. An Introduction To TRIGONOMETRY Definitions, basics, functions, and other concepts necessary to understand basic trigonometry. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

10. Mental Math & Calculation; Tutorials On Data Mining, Neural Networks , And Fuzzy Exercise tool to practice addition, subtraction, multiplication, division, trigonometry and fuzzy logic problems. http://www.answermath.com/

HOME Math Store Español Italiano ... $15 OFF $200 Coupon in our Computer, Software, Home Networking, Digital Camera and Electronic Stores! New Customers Only! Exp 09-30-05! Practice on line: Addition Subtraction Multiplication Division ... Tangent Practice on line: Try to do it in your head...Select a level...Write your Answer by clicking the pad... ...We'll tell how you did and see how fast you did it... Mental Math Tips and Tricks: Ways to help you solve mathematical operations easily in your head... Artificial Intelligence Tutorials: Data Mining Neural Networks Fuzzy Logic Fuzzy Control Lab. ... Fields Artificial Intelligence Tutorials: Neural Networks, Fuzzy Logic and Sets, and Data Mining...Fuzzy Control Lab. and Artificial Life Lab... Fields and Vectors Web http://www.answermath.com Home Site Map Suggest a link Send Comments ... Help

11. Trigonometry trigonometry. A listing of material is given below. Half angle formulae Sums to products/Products to sums trigonometry of the triangle http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

12. Problems About Trigonometry Problems about trigonometry. READ THIS FIRST; Problems about trigonometry.Level 1 problems; Level 2 problems; Level 3 problems http://www.ping.be/~ping1339/Pgonio.htm

Problems about trigonometry READ THIS FIRST Problems about trigonometry Level 1 problems Level 2 problems ... Level 3 problems READ THIS FIRST If a problem is solved. It is not 'the' answer. No attempt is made to search for the most elegant answer. I highly recommend that you at least try to solve the problem before you read the solution. Problems about trigonometry Level 1 problems Calculate cos(3u) in terms of cos(u) cos(2u+u) = cos(2u)cos(u)-sin(2u)sin(u) = (cos (u)-sin (u))cos(u)-2sin(u)cos(u)sin(u) = cos (u) - sin (u)cos(u)-2sin (u)cos(u) = cos (u) -3sin (u)cos(u) cos (u) -3cos(u)+3cos (u) 4cos (u) -3cos(u) In the same way sin(3u) = -4sin (u) -3sin(u) prove that : cos(t)+sin(t) cos(2t) - = - cos(t)-sin(t) 1- sin(2t) cos(2t) = 1- sin(2t) cos (t)-sin (t) (cos(t)-sin(t))(cos(t)+sin(t)) - = = 1-2sin(t)cos(t) cos(t)cos(t)-2sin(t)cos(t)+sin(t)sin(t) (cos(t)-sin(t))(cos(t)+sin(t)) - = (cos(t)-sin(t))(cos(t)-sin(t)) cos(t)+sin(t) cos(t)-sin(t) show that sin(p)-sin(q) p+q = cot(-) cos(q)-cos(p) 2 sin(p)-sin(q) = cos(q)-cos(p) 2cos((p+q)/2)sin((p-q)/2) = -2sin((p+q)/2)sin((q-p)/2) cos((p+q)/2) = sin((p+q)/2) p+q cot(-) 2 Solve (sin(2a)).x

13. Arc Distance Formula By James Q. Jacobs Finding the shortest distance between two points on the earth given latitude and longitude. Download ARC_CALC_3, Microsoft Excel version, A Spherical Triangle Calculator by James Q. Jacobs. http://www.jqjacobs.net/astro/arc_form.html

Spherical Trigonometry Arc Distance Formula Finding the shortest distance between two points on the earth given latitude and longitude. Download ARC_CALC_3 . This small program will do the calculations below in an Excel 4.0 spreadsheet. You only need to input the coordinates. The program supports input of three sites and calculates the three arc distances, the area of the spherical triangle and the bearings between sites. Most spreadsheet programs should be able to import this file format. The graphic below illustrates the spreadsheet, before corrections on July 24, 2002. Previous downloads have "A to C" and "B to C" labels swapped for arcs and bearings. Let me know if there are other bugs in the applet. Epoch_2000 Temporal Epoch Calculator is a similar Excel spreadsheet. It calculates the temporal changes in astronomic constants, obliquity of the ecliptic and illumination angles at any specified latitude. You just enter the latitude and the date. Sherical Trigonometry Arc Distance Formulas Note: a and b are distinct from a (alpha) and b (beta).

14. S.O.S. Math - Trigonometry CALCULUS AND trigonometry The Derivatives of Trigonometric Functions HYPERBOLIC trigonometry The Hyperbolic Functions http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

15. Discovering Trigonometry A trigonometry is the study of how the sides and angles of a triangle are related to Q You mean trigonometry isn’t some big, ugly monster that makes http://catcode.com/trig/

Frequently Asked Questions About Trigonometry This tutorial is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License Q: What is trigonometry? A: Trigonometry is the study of how the sides and angles of a triangle are related to each other. Q: A: Q: A: Q: A: Stick and Shadows (part 1) Stick and Shadows (part 2) Shadows and Triangle Measuring the Sides ... A Few Final Words This material assumes that you know: How to measure angles. That a right angle is is 90 degrees. The sides of a triangle: the base , the height , and the hypotenuse Comments welcomed. Download the .ZIPped source files.

16. Discovering Trigonometry Frequently Asked Questions About trigonometry. Back to Dave's home page Q What is trigonometry? http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

17. Trigonometry-Surveying Uses For example, they can use trigonometry to figure out the distance across rivers . This gives us confidence that trigonometry really works. http://catcode.com/trig/trig13.html

Index Surveying the Uses of Trigonometry Some people just do not know how to have fun. They think everything has to be useful. Luckily, the sine, cosine, and tangent functions do have a lot of real-world uses. Surveyors use the tangent function a lot. For example, they can use trigonometry to figure out the distance across rivers. The tangent of 31 degrees is about 0.60. That means that the distance across the river is 0.6 times 400 meters, or 240 meters. Real world alert! Index

18. Math And Algebra Help - Videos From MathTV.com Instructional math help video lessons online and on CD. http://www.mathtv.com

Announcing our newest CD: How to Solve Word Problems with Algebra by Charles P. McKeague Join Our Mailing List Tell A Friend FAQ's Success Stories MathTV.com produces math video lessons designed to help students improve their math and algebra skills. Whether you're in need of homework help or additional resources for test preparation, our learning materials can be a significant learning asset. Watch and learn as our instructor clearly explains the steps and concepts involved in solving even the most advanced equations. On-demand access to our entire library of videos. More than 50 lessons per subject covering all the important concepts from basic algebra to trigonometry. Perfect for broadband users. Five hours of video on each CD-ROM. Basic Math, Algebra, and Trigonometry CDs offer an engaging learning experience that is guaranteed to help anyone improve their math skills. FREE 10-problem practice test worksheets.

19. Web Math Offers interactive homework help in prealgebra, algebra, geometry, trigonometry, calculus, statistics, and real world math. From http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

20. History Of Mathematics - Facets Of India : Ancient And Modern Includes history of algebra trigonometry, numerical mathematics, and geometry in this region. http://www.geocities.com/dipalsarvesh/mathematics.html

If we, the daughters and sons of the Bharata Mata (Mother India), do not help our other sisters and brothers then who else ? Please click here to help the wounded cradle of civilization. Dear guest, your feedback is very important to us and is more than welcome. Please email or click here to give your feedback. If you are not viewing this page from its parent site, please click here to visit the parent site titled "Facets of India : Ancient and Modern". Obligatory Note: This matter is created/compiled by Sarvesh Srivastava from various authentic resources for the site titled "Facets of India : Ancient and Modern" . Please feel free to link the page as it is, including this note, but strictly refrain from copying it as it may result in appropriate legal action. History of Ganit (Mathematics) Introduction Ganit (Mathematics) has been considered a very important subject since ancient times. We find very elaborate proof of this in Vedah (which were compiled around 6000 BC). The concept of division, addition et-cetera was used even that time. Concepts of zero and infinite were there. We also find roots of algebra in Vedah. When Indian Beez Ganit reached Arab, they called it Algebra. Algebra was name of the Arabic book that described Indian concepts. This knowledge reached to Europe from there. And thus ancient Indian Beez Ganit is currently referred to as Algebra.

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