1. Dave's Short Course In Trigonometry Covers basic definitions and concepts in beginning trigonomety.Category Kids and Teens School Time Math trigonometry...... Applications of trigonometry Astronomy and geography; Engineeringand physics; Mathematics and its applications. What is trigonometry? 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. S.O.S. Math - Trigonometry Guide to trigonometry sites provides links to functions, formulas, equations, and a table of trigonometric identities. CALCULUS AND trigonometry. The Derivatives of Trigonometric Functions http://www.sosmath.com/trig/trig.html

S.O.S. Homepage Algebra Calculus Differential Equations ... CyberBoard Search our site! S.O.S. Math on CD Sale! Only $19.95. Works for PCs, Macs and Linux. Tell a Friend about S.O.S. Books We Like Math Sites on the WWW S.O.S. Math Awards ... Privacy Concerns? TRIGONOMETRY Angle Measures Trigonometric Functions The magic identity The Addition Formulas ... SOLVING TRIGONOMETRIC EQUATIONS CALCULUS AND TRIGONOMETRY The Derivatives of Trigonometric Functions HYPERBOLIC TRIGONOMETRY The Hyperbolic Functions The Inverse Hyperbolic Functions Contact us Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA users online during the last hour

3. An Introduction To TRIGONOMETRY An introduction to trigonometry. Turning counterclockwise is the positive orientationin trigonometry. Angles are measured starting from the xaxis. 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.

4. Mathematics Archives - Topics In Mathematics - Trigonometry Maintained by the University of Tennessee, this page provides links to several trigonometry guides. Find short courses and tutorials. trigonometry. Complex Numbers and trigonometry. ADD. KEYWORDS Tutorial, Angles and Triangles, Similar Triangles, http://archives.math.utk.edu/topics/trigonometry.html

Topics in Mathematics Trigonometry Complex Numbers and Trigonometry ADD. KEYWORDS: Tutorial, Angles and Triangles, Similar Triangles, Parallelograms, Polar Form, Negative of a Point, Subtraction, Conjugate, The Real and Imaginary Axes; Rectangular Form, Trigonometric Functions, Inverse Trigonometric Functions, Laws of Sines and Cosines SOURCE: Abraham P. Hillman, University Of New Mexico, Gerald L. Alexanderson, Santa Clara University and Mervin E. Newton, Thiel College TECHNOLOGY: PDF reader Easymaths ADD. KEYWORDS: Tutorials, Worksheets, Diagnostic tests SOURCE: Mathematics Web Association EMR - Exercises in Math Readiness ADD. KEYWORDS: Tutorial, Radian Measure, Trig Identities Frequently Asked Questions About Trigonometry ADD. KEYWORDS: Tutorial GCSE Mathematics ADD. KEYWORDS: Tutorial, Drill problems, Negative Numbers, Ratios, Fractions, Graphs, Probability, Algebra, Trigonometry, Functions and Sequences Geomath - Trigonometry ADD. KEYWORDS: Tutorial How to estimate Saturn's Mass and Distance The Interactive Learning Network - Trigonometry ADD. KEYWORDS:

5. Trigonometry Information of Products http://www.ies.co.jp/math/java/trig

Information of Products Information of Products

6. Trigonometry Realms Education in mathematics and science. trigonometry Realms. Mathematics. Waves. Simple Harmonic Motion http://id.mind.net/~zona/mmts/trigonometryRealms/trigonometryRealms.html

Trigonometry Realms Mathematics Waves Simple Harmonic Motion Contents ... Home When you understand this animated diagram, Oh, no! Know Java. You shall understand the sin(x). Overview Quick view of definitions and graphs of trigonometric functions. Introduction Detailed explanation relating the basic trigonometric functions to the right triangle. Multiple choice problems concerning introductory trigonometry. Common Angles in a Circle Values in degrees and radians for several usual angles from to 360 degrees, (or to 2Pi radians). Point Definitions for Trig Functions Definitions of trig functions based on an (x, y) point on the terminal side of the input angle to the function. Degrees, Minutes, and Seconds How to go back and forth between a decimal number representation of an angle's measurement and a representation of the measurement in degrees, minutes, and seconds. The Radian Often in mathematics angles are measured in radians rather than in degrees. This section explains the radian and its relationship to the degree. Solvers Right Triangle Solvers Mathematics Waves Simple Harmonic Motion ... E-mail

7. Trigonometry : Trigonometric Functions & Identities In Math trigonometry Click banner to visit sponsor Hide ads Advertise here. trigonometry Table of Contents http://www.syvum.com/math/trigonometry.html

Syvum Home K-12 SAT GRE ... More... '); document.write(' '); document.write(' Hide ads Advertise here Hide ads Advertise here 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 ... Contact Info

8. What Is Trigonometry What is trigonometry? trigonometry as computational geometry. trigonometrybegan as the computational component of geometry. For 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. Discovering Trigonometry Frequently Asked Questions About trigonometry Q What is trigonometry? A trigonometry is the study of how the sides and angles of a triangle are related to each other. A Yes, that's all. http://www.catcode.com/trig

Frequently Asked Questions About Trigonometry Back to Dave's home page Q: What is trigonometry? A: Trigonometry is the study of how the sides and angles of a triangle are related to each other. Q: WHAT? That's all? A: Yes, that's all. It's all about triangles, and you can't get much simpler than that. Q: You mean trigonometry isn't some big, ugly monster that makes students turn green, scream, and die? A: No. It's just triangles. Q: Oh. But isn't that boring? A: We'll try to make it a little more fun by letting you play around with the triangles interactively. Let's start. Click on a topic to go to that page. If this is your first visit to these pages, we recommend that you start with the first item in the list. 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 If you aren't familiar with these concepts, you'll have to ask your math teacher to assist you with them. J. David Eisenberg

10. Problems About Trigonometry Problems about trigonometry. read the solution. Problems about trigonometry.Level 1 problems. Calculate cos(3u) in terms of cos(u). 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

11. Discovering Trigonometry Frequently Asked Questions About trigonometry. Back to Dave's homepage Q What is trigonometry? A trigonometry is the study http://catcode.com/trig/

Frequently Asked Questions About Trigonometry Back to Dave's home page Q: What is trigonometry? A: Trigonometry is the study of how the sides and angles of a triangle are related to each other. Q: WHAT? That's all? A: Yes, that's all. It's all about triangles, and you can't get much simpler than that. Q: You mean trigonometry isn't some big, ugly monster that makes students turn green, scream, and die? A: No. It's just triangles. Q: Oh. But isn't that boring? A: We'll try to make it a little more fun by letting you play around with the triangles interactively. Let's start. Click on a topic to go to that page. If this is your first visit to these pages, we recommend that you start with the first item in the list. 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 If you aren't familiar with these concepts, you'll have to ask your math teacher to assist you with them. J. David Eisenberg

12. ThinkQuest Library Of Entries A brief overview of trigonometric terms and concepts.Category Kids and Teens School Time Math trigonometry......trigonometry Angles. Angle of Elevation and Depression Degrees, Minutes,Seconds Radians Convertion of Radians and Degrees Trigonometric Functions. http://library.thinkquest.org/10030/trigcon.htm

Welcome to the ThinkQuest Internet Challenge of Entries The web site you have requested, Seeing is Believing , is one of over 4000 student created entries in our Library. Before using our Library, please be sure that you have read and agreed to our To learn more about ThinkQuest. You can browse other ThinkQuest Library Entries To proceed to Seeing is Believing click here Back to the Previous Page The Site you have Requested ... Seeing is Believing click here to view this site A ThinkQuest Internet Challenge 1997 Entry Click image for the Site Languages : Site Desciption Need a primer on math, science, technology, education, or art, or just looking for a new Internet search engine? This catch-all site covers them all. Maybe you're doing your homework and need to quickly look up a basic term? Here you'll find a brief yet concise reference source for all these topics. And if you're still not sure what's here, use the search feature to scan the entire site for your topic. Students Peter Oakhill College, Castle Hill Australia Suranthe H Oakhill College Australia Coaches Tina Oakhill College, Castle Hill

13. ThinkQuest Library Of Entries ratios Pythagorean and quotient identities Algebraic manipulation Quizon trigonometry. The trig. Back to top. Take the Quiz on trigonometry. http://library.thinkquest.org/20991/alg2/trig.html

Welcome to the ThinkQuest Internet Challenge of Entries The web site you have requested, Math for Morons like Us , is one of over 4000 student created entries in our Library. Before using our Library, please be sure that you have read and agreed to our To learn more about ThinkQuest. You can browse other ThinkQuest Library Entries To proceed to Math for Morons like Us click here Back to the Previous Page The Site you have Requested ... Math for Morons like Us click here to view this site A ThinkQuest Internet Challenge 1998 Entry Click image for the Site Languages : Site Desciption Have you ever been stuck on math? If it was a question on algebra, geometry, or calculus, you might want to check out this site. It's all here from pre-algebra to calculus. You'll find tutorials, sample problems, and quizzes. There's even a question submittal section, if you're still stuck. A formula database gives quick access and explanations to all those tricky formulas. Languages: English. Students J. Robert Davis High School Library UT, United States

14. Trigonometry Prev Next Home Created 7/7/96 by jevans@tinet.ie. trigonometry.A listing of material is given below. Other tutorial materials in 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

15. Math Forum - Ask Dr. Math Archives: High School Trigonometry Ask Dr. Math High School Archive Browse High School trigonometry Stars indicate particularly interesting answers or good places to begin browsing. Averaging Two Angles 06/08/1999 How do you take the average of two or more angles? Basics of trigonometry 12/12/2001. Why is trigonometry important? http://forum.swarthmore.edu/dr.math/tocs/trig.high.html

Ask Dr. Math High School Archive Dr. Math Home Elementary Middle School High School ... Dr. Math FAQ TOPICS This page: trigonometry Search Dr. Math See also the Dr. Math FAQ trigonometry formulas See also the Internet Library trigonometry HIGH SCHOOL About Math Analysis Algebra basic algebra ... Trigonometry Browse High School Trigonometry Stars indicate particularly interesting answers or good places to begin browsing. Averaging Two Angles How do you take the average of two or more angles? Basics of Trigonometry Why is trigonometry important? How is it used in the real world? Calculating Height in the Air I need to know the formula for calculating the height of an object, like how high in the air an object is. Carrying a Ladder around a Corner A ladder of length L is carried horizontally around a corner from a hall 3 feet wide into a hall 4 feet wide. What is the length of the ladder? Changing a Trigonometric Graph How do you graph: -cos 2x / 2? Curious Property of a Regular Heptagon How can I prove that in a regular heptagon ABCDEFG, (1/AB)=(1/AC)+(1/ AD)? Deriving Sines of 30, 45, 60 and 90 Degrees

16. Trigonometry Of The Triangle Prev Next Home Created 4/8/96 by jevans@tinet.ie. trigonometry of the triangle.Sine Rule Cosine Rule Area of a triangle Small angles. Surface Links-. http://www.acts.tinet.ie/trigonometryofthetrian_673.html

Prev Next Home ] Created 4/8/96 by jevans@tinet.ie Trigonometry of the triangle Sine Rule Cosine Rule Area of a triangle Small angles -Surface Links- Trigonometry Core Resources by Topic - Core and Options LC - Higher Level ... Home

17. Trigonometry, Right Triangles First of all, think of a trigonometry function as you would any general function. Thenames of the three primary trigonometry functions are sine. cosine. http://id.mind.net/~zona/mmts/trigonometryRealms/introduction/rightTriangle/trig

Trigonometry and Right Triangles Introduction Trigonometry Mathematics Contents ... Home First of all, think of a trigonometry function as you would any general function. That is, a value goes in and a value comes out. If that does not seem quite clear, go see The Definition of a Function and What is f(x)? The names of the three primary trigonometry functions are: sine cosine tangent These are abbreviated this way: sine.....sin cosine.....cos tangent.....tan So, instead of writing f(x) , we will write: sin(x) cos(x) tan(x) Often, in general mathematics notation the parentheses are dropped from the above examples. Therefore, the notation will often look like this: sin x cos x tan x In Zona Land we will keep the parentheses. Now, as usual, the input value is x. This input value usually represents an angle. For the sine function, when the input value is 30 degrees, the output value is 0.5. We would write that statement this way: Below is a listing of several popular input and output values for the three main trigonometry functions. You do not have work at memorizing this table. After you use trigonometry for a while, these values will be remembered quite easily. At this point our central issues will revolve around these questions: Where do these numbers come from?

18. Trigonometry trigonometry. © Department of Physics, University of Guelph. During 0.8391.Continue to trigonometry, Part 2. OR Return to Physics Tutorials http://www.physics.uoguelph.ca/tutorials/trig/trigonom.html

TRIGONOMETRY During this tutorial you will be asked to perform calculations involving trigonometric functiions. You will need a calulator to proceed. Panel 1 The purpose of this tutorial is to review with you the elementary properties of the trigonometric functions. Facility with this subject is essential to success in all branches of science, and you are strongly urged to review and practice the concepts presented here until they are mastered. Let us consider the right-angle triangle shown in Panel 1. The angle at C is a right angle and the angle at A we will call q . The lengths of the sides of the triangle we will denote as p, q and r. From your elementary geometry, you know several things about this triangle. For example, you know the Pythagorean relation, hypotenuse , is equal to the sum of the squares of the lengths of the other two sides. We know other things. For example, we know that if the lengths of the three sides of any triangle p, q and r are specified, then the whole triangle is determined, angles included. If you think about this for a moment, you will see it is correct. If I give you three sticks of fixed length and told you to lay them down in a triangle, there's only one triangle which you could make. What we would like to have is a way of relating the angles in the triangle, say q , to the lengths of the sides.

19. Trigonometric Functions This makes Hipparchus the founder of trigonometry. This contained work on planarand spherical trigonometry originally done much earlier in about 1464. http://www-gap.dcs.st-and.ac.uk/~history/HistTopics/Trigonometric_functions.html

20. CTC's Trigonometry Explorer http://www.cogtech.com/EXPLORER/

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