81. Engineering Mechanics Topics Algebra, Geometry, trigonometry, Analytical Geometry, Calculus, Vectors. Teaching material and tests. Pages created by Mehrdad Negahban and the University of Nebraska. http://em-ntserver.unl.edu/Math/mathweb/mathtoc.html

You Are Here: Home Mathematics for Mechanics Mathematics for Mechanics Welcome to the Mathematics for Mechanics Homepage. Click on any of the topics you're interested in learning about! Topics: Algebra Geometry Trigonometry Analytical Geometry ... Vectors Copy and distribute freely for personal use only Department of Engineering Mechanics, University of Nebraska, Lincoln, NE 68588-0526 Department of Engineering Mechanics Phone: (402) 472-2377 W317.4 Nebraska Hall FAX: (402) 472-8292 University of Nebraska-Lincoln E-mail: dgsem@unl.edu Lincoln, NE 68588-0526 Web: http://www.unl.edu/emhome/em.html Contact Dr. M. Negahban with questions and comments regarding this site: mnegahban@unl.edu W317.4 Nebraska Hall Lincoln, NE 68588-0526 Top Home Engineering Mechanics Phone: (402) 472-2377 FAX: (402) 472-8292 E-mail: dgsem@unl.edu

82. Spherical Trigonometry -- From MathWorld Spherical trigonometry. Spherical trigonometry. §12 in VNR Concise Encyclopedia of Mathematics, 2nd ed. New York Van Nostrand Reinhold, pp. 261282, 1989. http://mathworld.wolfram.com/SphericalTrigonometry.html

INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index ABOUT THIS SITE About MathWorld About the Author DESTINATIONS What's New MathWorld Headline News Random Entry ... Live 3D Graphics CONTACT Email Comments Contribute! Sign the Guestbook MATHWORLD - IN PRINT Order book from Amazon Geometry Trigonometry Spherical Trigonometry Spherical Trigonometry Let a spherical triangle be drawn on the surface of a sphere of radius R , centered at a point with vertices A B , and C . The vectors from the center of the sphere to the vertices are therefore given by and Now, the angular lengths of the sides of the triangle (in radians) are then and and the actual arc lengths of the side are and Explicitly, Now make use of A B , and C to denote both the vertices themselves and the angles of the spherical triangle at these vertices, so that the dihedral angle between planes AOB and AOC is written A , the dihedral angle between planes BOC and AOB is written B , and the dihedral angle between planes BOC and AOC is written C . (These angles are sometimes instead denoted e.g., Gellert

83. Thabit Gives information on background and contributions to noneuclidean geometry, spherical trigonometry, number theory and the field of statics. Was an important translator of Greek materials, including Euclid's Elements, during the Middle Ages. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Thabit.html

Al-Sabi Thabit ibn Qurra al-Harrani Born: 826 in Harran, Mesopotamia (now Turkey) Died: 18 Feb 901 in Baghdad, (now in Iraq) Click the picture above to see a larger version Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Thabit ibn Qurra was a native of Harran and a member of the Sabian sect. The Sabian religious sect were star worshippers from Harran often confused with the Mandaeans (as they are in [1]). Of course being worshipers of the stars meant that there was strong motivation for the study of astronomy and the sect produced many quality astronomers and mathematicians. The sect, with strong Greek connections, had in earlier times adopted Greek culture, and it was common for members to speak Greek although after the conquest of the Sabians by Islam, they became Arabic speakers. There was another language spoken in southeastern Turkey, namely Syriac, which was based on the East Aramaic dialect of Edessa. This language was Thabit ibn Qurra's native language, but he was fluent in both Greek and Arabic. Some accounts say that Thabit was a money changer as a young man. This is quite possible but some historians do not agree. Certainly he inherited a large family fortune and must have come from a family of high standing in the community.

84. Free Math Help Provides games, activities, lessons, calculators for students studying algebra, geometry, calculus, or trigonometry including a daily problem. http://www.freemathhelp.com/

algebra calculus geometry trigonometry ... other Math Help Resources: ask a math expert calculators (games) math competitions ... worksheets Welcome to FreeMathHelp.com, your source for math help in algebra, geometry, trigonometry, calculus, and any other subject. New Lesson (5/8/2004): Horizontal and Vertical Asymptotes Current Math Discussions: Math Problem of the Day: If the diameter of a circle is 4.35 inches, what is its circumference rounded to the nearest tenth? Give your answer without units (like 15.5). Featured Link: Jiskha Math Help - Offers a message board, lessons, and many other resources in lots of different subjects, like English, foreign languages, math, and science.

85. Educational Software For Teaching Trigonometry trigonometry Challenge. Computer Aided Instruction for Teaching Numerical trigonometry. TRIG CHALLENGE is designed to supplement your http://www.etcai.com/page10.html

Trigonometry Challenge Computer Aided Instruction for Teaching Numerical Trigonometry TRIG CHALLENGE is designed to supplement your classroom and textbook instruction. The topics included in the program are listed below. The Pythagorean Theorem Degree and Radian Conversion Using the Sine Function Using the Cosine Function Using the Tangent Function The Inverse Functions The Law of Sines The Law of Cosines Program Requirements Trigonometry Challenge is a 32-bit Windows 95/98/98SE/me/XP/2000/NT4 application. The program requires approximately 4 MB of hard drive space. This program is designed for systems with at least a 166 MHz pentium processor with 128 MB or more of RAM. VGA graphics with at least 265 colors is required. Price: $159.00 for an unlimited school or plant license Works with Windows 2000, XP, ME, 98, 98SE, 95 and NT4 Our unlimited site license allows students and employees to use a copy of the software on their home computers! Your computers can help you teach trig concepts! Download Trial Purchase Information ETCAI Products • P. O. Box 1046 • Gautier MS • 39553 Phone: 228-497-2566 • Fax: 228-497-5147 Updated 4 - June - 2004

86. Education.ti.com - Home Compact, easy to use, reliable computer algebra software. It intelligently applies the rules of algebra, trigonometry, calculus and matrix algebra to solve a wide range of mathematical problems. This nonnumeric approach goes far beyond the capabilities of dedicated statistics packages and equation solvers that use only approximate numerical techniques. http://www.ti.com/calc/docs/derive.htm

Advanced Welcome, please sign in Our commitment to education TI is dedicated to providing a total solution for educators and students. Introducing... the TI-84 Plus family of graphing handhelds! TI-84 Plus TI-84 Plus Silver Edition Find your TI solution. Tell us your course and we'll point you in the right direction. Select your course Algebra Biology Calculus Chemistry Earth Science Engineering Finance General Use Geometry Middle Grades Math Middle Grades Science Physics Real Estate Statistics products Handheld technology, software and accessories for every class. Learn more > activities Online subscriptions, videos, activity books and much more. Learn more > training On-site and online training, conferences and professional development for teachers. Learn more > resources for you Regional information, success stories, useful links and more to support your classroom needs. Learn more > get connected! Join Discussion Groups Sign up for eNewsletters ... career opportunities Know what you're looking for? Get started Activity Books Computer Software Guidebooks/Manuals Success Stories TI Connect Tutorials Where to Buy Workshop Loan Trademarks Link Policy

87. NCTM Illuminations trigonometry Drills. Web sites used for the Internet Extensions are ä trigonometry Formulas ä Dave s Short Trig Course ä Calculus@Internettrigonometry. http://illuminations.nctm.org/lessonplans/9-12/trigdrills/

Pre-K - 2 Across Lessons SWRs Tools i-Maths Inquiry Search Standards Contact Us Home NCTM Publication-Based Lesson Plan / 9 - 12 Trigonometry Drills Overview: NCTM Publication-Based Lesson Plans are adapted from NCTM's journals. This lesson plan, by Mally Moody, appeared in the March 1992 edition of Mathematics Teacher Journal . Two of these activities have specifically been created to enhance students' abilities to appreciate and use trigonometry as a tool in problem solving. Mathematical Learning Objectives: Students will: ä analyze situations, check for limitations, and examine appropriate methods of solutions using trigonometry ä practice manipulating trigonometric functions and in substituting equivalent expressions ä work in small groups encouraging classmates and communicating thoughts NCTM Standards: This topic relates to: Geometry Algebra Problem Solving Grade Level: Grades 9-12 Web Sites: Web sites used for the Internet Extensions are: Trigonometry Formulas Dave's Short Trig Course Calculus@Internet-Trigonometry Materials : ä Activity sheets for students ä Transparencies Reference: Written by Mally Moody, Oxford High School, Oxford, AL

88. Trigonometry Includes information on the laws of sines and cosines, right triangle trigonometry, and the ambiguous case. http://geocities.com/lilvballbabe23

The branch of mathematics that deals with the relationships between the sides and the angles of triangles and the calculations based on them, primarily the trigonometric functions. (sine, cosine, tangent, cosecant, secant, and cotangent) Below are buttons that lead to four main concepts of trigonometry. Click the buttons to observe the information provided. By, Alyssa Pryor Last updated: January 15, 2004 Questions or comments? E-mail me at: Lilvballbabe23@yahoo.com Sign Guestbook View Guestbook

89. Trigonometry Calculators trigonometry. trigonometry The selections available can show you how to do algebraic manipulations involving trigonometric functions. ; http://www.ifigure.com/math/trig/trig.htm

your source for online planning, calculating and decision-making Home Plan Calculate Convert ... Decide Mathematics Basic Math Algebra Geometry Trigonometry ... Tutorials Search the Web: Trigonometry Trigonometry "The selections available can show you how to do algebraic manipulations involving trigonometric functions." Triangle Calculator Solve for sides and angles of a triangle, using degrees or radians. Ultimate Triangle Calculator Solve for angles and sides of a triangle given three pieces of information (e.g., 3 sides, side-angle-side, etc.) Interactive Mathematics Online interactive algebra, trigonometry, geometry, chaos, etc. Updated 07/17/00 Send email to: webmaster@ifigure.com choose Medicine Engineer. Science Law And More

90. Math Notes Quick reference for basic algebra, trigonometry, geometry, calculus, and physics formulas. Includes online calculators. http://www.geocities.com/tvtronix/mathnotes/

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91. Contents Tutorial include basic concepts, functions, and exercises. http://www.krellinst.org/UCES/archive/resources/trig/contents-node16.html

Contents Trigonometry - A Review Preface and Acknowledgements How To Use This Document Acknowledgements ... James A. Sellers

92. Trigonometry Or Trig: Math An explanation YOU can understand of trigonometry, and what all these triangle and circles and waves mean. Quote of the Week (not mathrelated). http://www.ncsu.edu/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.

93. Webmath | DiscoverySchool.com Offers interactive homework help in prealgebra, algebra, geometry, trigonometry, calculus, statistics, and real world math. From DiscoverySchool.com. http://school.discovery.com/homeworkhelp/webmath/

For our newsletter and special teacher promotions. Webmath will no longer be hosted on DiscoverySchool.com. You can now find Webmath and all of its great math problem solvers at http://www.webmath.com Please change your web browser bookmarks to the new URL. Site Map About Us Feedback Discovery.com

94. Trigonometry - Wikipedia, The Free Encyclopedia trigonometry. From Wikipedia, the free encyclopedia. trigonometry (Greek is. For some, trigonometry is just a subtopic of geometry. It http://en.wikipedia.org/wiki/Trigonometry

Trigonometry From Wikipedia, the free encyclopedia. Server will be down for maintenance on 2004-06-11 from about 18:00 to 18:30 UTC. 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 obtained 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. Using these facts, one defines

95. Earth Science Class - Newark High School This website is intended for use by students, teachers and those in general with an interest in science who have a basic understanding of algebra and trigonometry http://www.earthscienceclass.com

e a r t h s c i e n c e

96. Review Plane Trigonometry Review Plane trigonometry. Ref. trigonometry, 6th Editon, Lial, Hornsby, Schneider, Addison/Wesley Return to Review Menu. http://home.xnet.com/~fidler/triton/math/review/mat114/mat114.htm

Review Plane Trigonometry Topics Angles Definitions of Trig. Functions Reference Angles Right Angle Trig. ... Radian Measure and Applications Ref.: Return to Review Menu

97. History Of Mathematics - Beginnings Of Trigonometry Beginnings of trigonometry. trigonometry is an area of mathematics used for determining geometric quantities. Its name, first published http://members.aol.com/bbyars1/trig.html

Beginnings of Trigonometry Trigonometry is an area of mathematics used for determining geometric quantities. Its name, first published in 1595 by B. Pitiscus, means "the study of trigons (triangles)" in Latin. Ancient Greek Mathematicians first used trigonometric functions with the chords of a circle. The first to publish these chords in 140 BC was Hipparchus, who is now called the founder of trigonometry. In AD 100, Menelaus, another Greek mathematician, published six lost books of tables of chords. Ptolemy, a Babylonian, also wrote a book of chords. Using chords, Ptolemy knew that sin (x + y) = sin x * cos y + cos x * sin y and a / sin A = b / sin B = c / sin C. Trigonometry has been used throughout modern and ancient history dealing with practical applications, such as surveying. Modernly, it has incorporated many other ideas instead of just triangles. The six trigonometric functions now known are sine (sin) = opposite side/ hypotenuse cosine (cos) = adjacent side/ hypotenuse tangent (tan) = opposite side/ adjacent secant (sec) = hypotenuse/ adjacent side cosecant (cosec) = hypotenuse/ opposite side cotangent (cot) = adjacent side/ opposite side Three of these ratios are the reverse of other ratios. All of these ratios are used widely to determine sides and angles of triangles. Without their discovery, surveyors and other practical mathematicians would not be able to efficiently determine relationships.

98. MCA Learning Units Features selected learning modules for arithmetic, algebra, geometry, trigonometry, statistics and probability. Includes some resource links. http://www.staff.vu.edu.au/mcaonline/units/index.html

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99. Main Menu trigonometry practice problems in three levels of difficulties. http://math.usask.ca/emr/menu_trig.html

Trigonometry TOPIC EXERCISES Radian Measure of Angles Trigonometric Functions More Trig. Functions Trig. Identities and Solving Equations ... Techniques for Proofs

100. Great Solutions Inc Presents The Machinist's Friend A Valuable Utility Program T Offers a Windows based utility program for making trigonometry calculations required in CAD/CAM and machining operations. Can be ordered online. http://www.machinistsfriend.com

Home Page Main Menu Right Triangle Oblique Triangle ... Industry News Order Line Office hours: Monday - Friday 9:00 AM to 8:00 PM Pacific time. Great Solutions, Inc. Version 2.0 for Windows The Machinist's Friend is a valuable utility program for Machine Shop Owners, Machinists, CNC Programmers, Metalworkers, Students, Engineers, or anyone else who needs to solve Trigonometry calculations. Also, a great utility tool for cad or cad-cam users. The Machinist's Friend runs on Windows 3.1 / 95 / 98 / NT / ME / 2000 / XP / XP Pro To find out more about what The Machinist's Friend can do, go to Main Menu Quotes from some of our valued customers "The Machinist's Friend is GREAT! I have bought a lot of software over the years, but I think buying The Machinist's Friend has to be one of my better investments. I'm going to school to learn CNC programming. At my next class, I'm going to tell the teacher about The Machinist's Friend and ask him to give your web address to the class. I think every machinist and machine shop should have The Machinist's Friend . If you ever get it into a calculator, let me know, I'll buy it also!

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