41. SCORE Mathematics Lessons . CA StandardsLinks. NCTM Standards Links. Noon Project Revisited 2200 years......SCORE Mathematics. trigonometry. Lesson Title/ http://score.kings.k12.ca.us/trigonometry.html

SCORE Mathematics Trigonometry Lesson Title/Description CA Standards Links NCTM Standards Links Noon Project Revisited 2200 years ago, Eratosthenes calculated the circumference of the Earth from the measurements of two shadows (in a well and from a pole). The Noon Project is an annual Internet event for schools to team up and make their own measurements. Using the reported 1995 shadow measurements, you can perform the calculations to determine the diameter of the Earth. Suggestions or comments to Jim Shaver Last updated June 1, 2000

42. SCORE Math: Trigonometry Standards For 8-12 trigonometry. trigonometry uses the techniques that students havepreviously learned from the study of algebra and geometry. The http://score.kings.k12.ca.us/standards/trigonometry.html

SCORE Mathematics California's Mathematics Standards 8-12 TRIGONOMETRY Trigonometry uses the techniques that students have previously learned from the study of algebra and geometry. The trigonometric functions studied are defined geometrically rather than in terms of algebraic equations. Facility with these functions as well as the ability to prove basic identities regarding them is especially important for students intending to study calculus, more advanced mathematics, physics and other sciences, and engineering in college. Students understand the notion of angle and how to measure it, in both degrees and radians. They can convert between degrees and radians. Noon Project Revisited Students know the definition of sine and cosine as y- and x- coordinates of points on the unit circle and are familiar with the graphs of the sine and cosine functions. Students know the identity cos x ) + sin x 3.1 Students prove that this identity is equivalent to the Pythagorean theorem (i.e., students can prove this identity by using the Pythagorean theorem and, conversely, they can prove the Pythagorean theorem as a consequence of this identity). 3.2 Students prove other trigonometric identities and simplify others by using the identity cos

43. The JavaScript Source: Miscellaneous: Trigonometry Ratios Home Miscellaneous trigonometry Ratios These are trigonomic ratios for angles upto 360 degrees. TAN. The JavaScript Source Miscellaneous trigonometry Ratios http://javascript.internet.com/miscellaneous/trigonomic-ratios.html

Home Miscellaneous Trigonometry Ratios These are trigonomic ratios for angles up to 360 degrees. Useful not only for the ratios, but for beginner scripters as well. Highly configurable. SIN COS TAN The JavaScript Source: Miscellaneous: Trigonometry Ratios Simply click inside the window below, use your cursor to highlight the script, and copy (type Control-c or Apple-c) the script into a new file in your text editor (such as Note Pad or Simple Text) and save (Control-s or Command-s). The script is yours!!! Did you use this script? Do you like this site? Please link to us! Sign up for the JavaScript Weekly Text HTML We'll send this script to you! (just click "Send it!" once!) Contact Us! JavaScript Forum Submit Your Script! Legal Notices ... Permissions

44. Complex Numbers And Trigonometry Complex Numbers and trigonometry Revised Edition by It presents an innovativeintroduction to trigonometry through the use of complex numbers. http://www.thiel.edu/mathproject/CNAT/Default.htm

Dedication Table of Contents Preface Chapter I ... PDF Version Complex Numbers and Trigonometry Revised Edition by Abraham P. Hillman University Of New Mexico Gerald L. Alexanderson Santa Clara University Mervin E. Newton Thiel College INTERACTIVE VERSION The Original Edition of this text is still available. This text has been placed on the WWW as a public service by the Department of Mathematics and Computer Science of Thiel College . It presents an innovative introduction to trigonometry through the use of complex numbers. The text is available in two formats. This, the interactive version, is intended to be read on the computer. There is also a PDF version which is more suitable for printing. All references in the interactive version to other parts of the text are links to the other parts. If you follow one of these links, use the BACK command on your browser to return to your starting point. Dedication Table of Contents Preface Chapter I ... PDF Version For other works by one or more of these authors try Algebra Through Problem Solving An Introduction to Programming the HP 48G/48GX Calculator and Abstract Algebra Return to Thiel Useful Links page.

45. Trigonometry Or Trig: Math An explanation YOU can understand of trigonometry, and what all these triangleand circles and waves mean. Quote of the Week (not mathrelated). http://www2.ncsu.edu/unity/lockers/users/f/felder/public/kenny/papers/trig.html

Quote of the Week (not math-related) Triangles, Circles, and Waves (oh my!) An Overview of Trigonometry by Kenny Felder Requires Fonts This sheet is meant as a guide to help you review trigonometry. I assume you're already familiar with the basic concepts, and just need to have things cleared up or refreshed; if you've never seen trig before, this sheet will probably only be helpful in conjunction with a class. The Basic Idea Start out by considering a right triangle: that is, a triangle with one 90 o angle. The angle that we care about is one of the other ones, which we'll label with the Greek letter q . (Everyone always labels angles with Greek letters. Don't ask me why.) We're going to look at the sides: the big one, opposite the right angle, we call the hypotenuse . The other two don't have special names, but one is adjacent to q and one is opposite q , so those will do. In the triangle below, for instance, the side opposite q has length 2 (inches, or meters, or whatever). The side adjacent to q has length . The hypotenuse, therefore, must have length 4 by the Pythagorean theorem.

46. Calculus And Trigonometry levels. Find links for calculus and trigonometry on this page. Transforms.trigonometry. High School trigonometry. A short course in trigonometry. http://www.useekufind.com/learningquest/tmcalcul.htm

Pre-Calculus: THE ELECTRONIC TEXTBOOK: Integrated course in Chemistry, Mathematics and Physics - University of Pennsylvania Functions for science: linear, quadratic, exponentials, trigonometric; Derivatives: velocity, acceleration and growth; Differential equations: Newton's Laws, Rocket motion, chaotic systems; Forces and vectors. Frank Potter's Math Gems - Calculus Ask Mr. Calculus - Accepts math questions over e-mail. I Love Calculus Calculus Problem Of The Week GRAPHICS FOR THE CALCULUS CLASSROOM Calculus Lecture Notes - (Need Adobe to read) Carl's Calculus Tutor APPLIED FINITE MATH AND CALCULUS is an exciting new way to learn calculus, differential equations, and matrix theory. Multivariable Calculus Calculus page - (Online self-tests, sample problems, TI-85 tutorial) Dave's Math Tables: Theorems, proofs, tables, identities, graphs Calculus: Integrals, Derivatives,Advanced Topics,Fourier Series Transforms TRIGONOMETRY High School Trigonometry A short course in trigonometry Math Tables - General Math, Algebra, Geometry, Trigonometry Trigonometry Lesson - The purposes of this lesson are to give students opportunities to collect real world data from the Web regarding high and low tides at various locations in the United States and then find a function which models this data.

47. Trigonometry - Wikipedia trigonometry. From Wikipedia, the free encyclopedia. trigonometry (Greek is.For some, trigonometry is just a subtopic of geometry. It http://www.wikipedia.org/wiki/Trigonometry

Main Page Recent changes Edit this page Older versions Special pages Set my user preferences My watchlist Recently updated pages Upload image files Image list Registered users Site statistics Random article Orphaned articles Orphaned images Popular articles Most wanted articles Short articles Long articles Newly created articles All pages by title Blocked IP addresses Maintenance page External book sources Printable version Talk Log in Help Other languages: Deutsch Esperanto Trigonometry From Wikipedia, the free encyclopedia. Trigonometry (Greek: "the measure of triangles") is a branch of mathematics dealing with angles triangles and trigonometric functions such as sine and cosine . It has some relationship to geometry , though people don't seem to agree on exactly what that relationship is. For some, trigonometry is just a subtopic of geometry. It has many applications: the technique of triangulation for instance is used in astronomy to measure the distance to nearby stars, in geography to measure distances between landmarks, and in satellite navigation systems Two triangles are said to be similar if one can be gotten by uniformly expanding the other. This is the case if and only if their corresponding angles are equal, and it occurs for example when two triangles share an angle and the sides opposite to that angle are parallel. The crucial fact about similar triangles is that the lengths of their sides are proportionate. That is, if the longest side of a triangle is twice that of the longest side of a similar triangle, say, then the shortest side will also be twice that of the shortest side of the other triangle, and the median side will be twice that of the other triangle. Also, the ratio of the longest side to the shortest in the first triangle will be the same as the ratio of the longest side to the shortest in the other triangle.

48. Trigonometry Homework Help trigonometryHomework.com offers homework help with lessons, tutorials and interactive quizzes in Trigonom Category Science Math Education Homework Help...... http://www.trigonometryhomework.com/

49. BUBL LINK / 5:15 Internet Resources: Trigonometry Introduction to trigonometry An introductory guide to trigonometry.Includes functions, inverse functions and equations. Author Johan http://bubl.ac.uk/link/t/trigonometry.htm

BUBL LINK / 5:15 Catalogue of Internet Resources Home Search Subject Menus A-Z ... About Trigonometry A-Z Index Titles Descriptions Introduction to Trigonometry Mathematics Archives Name Project Trigonometry PUMAS Subject Keywords: Practical Uses of Math and Science ... WebMath Page last updated: 04 July 2002 Comments: bubl@bubl.ac.uk Introduction to Trigonometry An introductory guide to trigonometry. Includes functions, inverse functions and equations. Author: Johan.Claeys Subjects: trigonometry DeweyClass: ResourceType: guide Location: belgium, europe Last checked: Mathematics Archives Mathematics resources covering a range of topics including algebra, geometry, fractals, numerical analysis, statistics and trigonometry. Materials include bibliographies, images, photographs, problems, proofs, theories, conference proceedings and teaching materials. In addition to traditional subjects, the application of maths in art and music is considered and mathematics software is reviewed. Author: Mathematics Archives Subjects: algebra, fractals, geometry, mathematics education, mathematics software, numerical analysis, trigonometry DeweyClass: ResourceType: document collection, proceedings

50. Trigonometry Advertisement. trigonometry Tutorials Resources Guide picks. trigonometrytutorials, lessons, resources. 14 Excellent Trignometry http://math.about.com/cs/trigonometry/

zfp=-1 var z336=0; About Homework Help Mathematics Search in this topic on About on the Web in Products Web Hosting Mathematics with Deb Russell Your Guide to one of hundreds of sites Home Articles Forums ... Help zmhp('style="color:#fff"') Subjects ESSENTIALS Grade By Grade Goals Math Formulas Multiplication Fact Tricks ... All articles on this topic Stay up-to-date! Subscribe to our newsletter. Advertising Free Credit Report Free Psychics Advertisement Guide picks Trigonometry tutorials, lessons, resources. 14 Excellent Trignometry Tutorials Tutorials on Radians, Equations, Sine and Cosine, Pythagoras, 3 dimensional problems etc. with step by step examples. 7 PDF Trignometry Tutorials - High School Similar to having a Text Resource online! These pdf documents assist with an introduction to Trignometry. Identities - 8 Fundamentals A handy reference for trigonometric identities. You'll also recommendations for excellent supporting materials to help you learn trigonometric concepts more readily. A Short Course in Trigonometry Another excellent beginning focusing on applications, angle measurement, chords, sines, cosines, tangents and slope and identities. Introduction to Trignometry Everything you need to learn the basics of Trignometry, complete with graphics, definitions and step by step examples.

51. The Standard Deviants: Trigonometry Confusing sine with astrological sign? Need help with your trigonometryhomework? Downloadable Test. Take our trigonometry test! http://www.standarddeviants.com/pls/brain/cerebellum.show_subject?p_subject_id=3

52. Trigonometry Help - FreeMathHelp.com FreeMathHelp.com provides completely free math help to all students in varioussubjects, including algebra, geometry, trigonometry, calculus, and all other http://www.freemathhelp.com/trigonometry.html

Math Subjects: algebra calculus geometry trigonometry ... more More Resources: ask an expert calculators competitions everyday math ... worksheets Trigonometry Help Try these trig lessons to learn about those sines and cosines: Addition Formulas Basic Trigonometry Double-Angle and Half-Angle Formulas Law of Cosines ... Trigonometric Identities If you're having problems with trigonometry, ask an expert how it works: Ask Dr. Math - This is probably the best resource out there for anyone wanting an answer to a math question. Search their archives first to see if your question has already been asked, and then ask your own to Dr. Math. Ask MathNerds.com - A large group of math experts have banded together to provide this excellent service. Ask these people your math questions and you're sure to get a quick, correct answer. Gomath.com

53. EAAE-AOL : Simple Trigonometry - Distance Towards Saturn A bit of trigonometry. In order to investigate these shadows further,we need some straight definitions. Detailed trigonometry. http://www.amtsgym-sdbg.dk/as/AOL-SAT/SATURN.HTM

This EAAE/AOL Student Project has been prize-awarded within the Danish Young Scientist Competition - and was given the CoolMath Award 2001. How to estimate Saturn's Mass and Distance. Planet Saturn. Photo : Albert Zijlstra, Astronomy On Line, Dutch 91 cm telescope, La Silla, picture processing by Troels Christensen. Click here for photocaption, software, imagefiles, etc The Basic Idea of this EAAE AOL project goes back to 1610, were Galileo applied planet shadows ("phases") in order to estimate the distance towards Venus. The combination of modern CCD - technique and the Astronomy On-Line Network allows a (first of it's kind ?) revival of this old Middle Age method. In this exercise, students may - applying simple math - measure a. Distance to Saturn. b. Diameter of the planet and its ring system. c. Mass of this huge gas-planet. As described below, the results fit with reasonable accuracy to the official values. The planet Saturn - is well known for its famous rings.These strange rings consist of ice and rocks, there has been some discussion about these rings. Computer simulations indicate these rings should not be stable on a geological timescale, so their existence is still an open topic The interesting point about Saturn right now is the ring-shadow, which we see marked on the picture below:

54. Bigchalk: HomeworkCentral: Trigonometry (Mathematics) Looking for the best facts and sites on trigonometry? This HomeworkCentral Policy.HIGH SCHOOL BEYOND Mathematics trigonometry. INTRODUCTION http://www.bigchalk.com/cgi-bin/WebObjects/WOPortal.woa/wa/BCPageDA/sec~CAB~9424

Home About Us Newsletters Log In/Log Out ... Product Info Center Email this page to a friend! K-5 Trigonometry document.write(''); document.write(''); document.write(''); document.write(''); World Book Online Article on TRIGONOMETRY Function defined What Is Trigonometry? Comprehensive overview ... Contact Us

55. Trigonometry: A Crash Review trigonometry A Crash Review. trigonometry Survival 101 basic material notcoordinate geometry. What are these trigonometric trig functions, anyway? http://www.zaimoni.com/Trig.htm

Trigonometry: A Crash Review DrawMainAmazonLink('grafx/AmazonRotator/'); Search Now: Keyword Title Author Unfortunately, for much of this subject, there is no substitute for brute memorization. This course is often used as pre-calculus. "Algebra masters" will have a much smaller memorization load than other students. [I mean College Algebra, not the higher-math version.] Much of this subject is highly dependent on either calculators+ or tables [slide rules have been pass© since the electronic calculator, but could be used.] Traditionally, this subject relies on some familiarity with "College Algebra", but not an intensive mastery. Note: in many places, I will mention algebraic identities. For serious students who are either algebra-deficient or have to use the material under time pressure, I highly recommend working through "all of the plausible forms" and memorizing them. This usually means algebraic isolation of various variables in the equations, and figuring out how to use multiple equations in one problem. Currently, I am not providing the homework that is required to learn the material. I would like to partially remedy this deficiency. [ No timetables Note: There are several kludge notations lurking in this crash review: SQRT for "square root" (correctly notated for 2, 3, 5, and 6)

56. Trigonometry - Mathematics And The Liberal Arts trigonometry Mathematics and the Liberal Arts. Brendan, Brother T. How PtolemyConstructed trigonometry Tables. Mathematics Teacher 58 (1965), 14149. http://math.truman.edu/~thammond/history/Trigonometry.html

Trigonometry - Mathematics and the Liberal Arts To expand search, see Geometry . Laterally related topics: Symmetry Analytic Geometry Pattern Geometric Theorems ... Tilings , and The Square The Mathematics and the Liberal Arts pages are intended to be a resource for student research projects and for teachers interested in using the history of mathematics in their courses. Many pages focus on ethnomathematics and in the connections between mathematics and other disciplines. The notes in these pages are intended as much to evoke ideas as to indicate what the books and articles are about. They are not intended as reviews. However, some items have been reviewed in Mathematical Reviews , published by The American Mathematical Society. When the mathematical review (MR) number and reviewer are known to the author of these pages, they are given as part of the bibliographic citation. Subscribing institutions can access the more recent MR reviews online through MathSciNet Brendan, Brother T. How Ptolemy Constructed Trigonometry Tables. Mathematics Teacher Discusses how Ptolemy may have constructed his trigonometry tables, which in effect give a table of sines for every quarter degree between

57. KryssTal : Trigonometry trigonometry. triangle Pythagoras angle sine cosine tangent series radians Demoivre. This page is a member of Math(s)Ring. http://www.krysstal.com/trigonometry.html

Trigonometry triangle : Pythagoras : angle : sine : cosine : tangent : series : radians : Demoivre This page is a member of Math(s)Ring Right Angled Triangles Consider the right-angled triangle shown in the diagram. a b and c are the sides; f is the angle. This is a Greek letter and is pronounced phi . The angle between sides a and b is o , a right-angle . The side c , which is opposite the right angle, is called the hypotenuse (from a Greek word meaning stretch Pythagoras (c582 BC - c497 BC) proved what is now called Pythagoras' Theorem although it had been in use for centuries in the ancient world for building and measuring. The theorem can be described as follows: In a right-angles triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. This is written mathematically as a + b = c If a right-angled triangle has smaller sides of length 3 and 4. What is the length of the hypotenuse? From Pythagoras' Theorem, c = a + b If c c = 5 This is the famous triangle used in surveying and measuring. There are many such triangles (eg ). You can check that

58. Trigonometry next up previous Next DeMoivre's Theorem Up Functions of a SinglePrevious Integration trigonometry. DeMoivre's Theorem; Multi http://www.sp.uconn.edu/~cdavid/latex2html/mathreview/node5.html

Next: DeMoivre's Theorem Up: Functions of a Single Previous: Integration Trigonometry DeMoivre's Theorem Multi Angle Derivations Triangular Relations Inverse Functions ... Calculus

59. Earliest Uses Of Symbols For Trigonometric And Hyperbolic Functions In a trigonometry published by Richard Norwood in London in 1631, the author statesthat in these examples s stands for sine t for tangent sc for sine http://members.aol.com/jeff570/trigonometry.html

Earliest Uses of Symbols for Trigonometric and Hyperbolic Functions Last revision: Oct. 1, 2000 Sine. In 1583, Thomas Fincke (or Finck) (1561-1656) used sin. (with a period) in Book 14 of his Geometria rotundi. Cajori writes that "perhaps the first use of abbreviations for the trigonometric lines goes back to ... Finck" (Cajori vol. 2, page 150). In 1624, Edmund Gunter (1581-1626) used sin (without a period) in a drawing representing Gunter's scale (Cajori vol. 2, page 156). However, the symbol does not appear in Gunter's work published the same year. In 1626, Girard designated the sine of A by A, and the cosine of A by a (Smith vol. 2, page 618). In a trigonometry published by Richard Norwood in London in 1631, the author states that "in these examples s stands for sine t for tangent sc for sine complement tc for tangent complement sc for sine complement tc for tangent complement sec for secant " (Smith vol. 2, page 618). In 1632, William Oughtred (1574-1660) used sin (without a period) in Addition vnto the Vse of the Instrvment called the Circles of Proportion (Cajori vol. 1, page 193, and vol. 2, page 158).

60. Trigonometry ElementaryGeometry trigonometry. Abstract. From the inner (dot) product,employing Spherical trigonometry. One of the motivations for this http://www.rism.com/Trig/Trig02.htm

Elementary-Geometry Trigonometry Abstract From the inner (dot) product, employing the synthetic method, we develop the elementary geometries (including the trigonometry), in a pseudo-metrizable topology. The hyperbolic and circular trigonometric functions on a complex space are defined in terms of the exponential function. Their inverses are obtained. The addition theorems are presented and inverted. The derivatives, integrals, and infinite expansions are obtained. The Raphson, Newton, and Horner methods of finding the roots of an equation are presented. The binomial theorem and Gamma function are presented, also. Synthetic Geometry does not employ a coordinate system; it develops the congruence and similarity theorems. Analytic Geometry employs coordinate systems. It is happy to make use of the congruence or similarity theorems; but usually does not prove them. We employ the Synthetic Geometry, exclusively. The same distinction may be made between Analytic Vector Analysis vs. Synthetic Vector Analysis.

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