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Topic: Uses of trigonometry


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 Trigonometry?
Trigonometry is a branch of mathematics that developed from simple mensuration (measurement of geometric quantities), geometry, and surveying.
Trigonometry uses the fact that ratios of pairs of sides of triangles are functions of the angles.
These formulas are useful in the solution of triangles, that is, the determination of measurements of a triangle from given data.
omega.albany.edu:8008 /mat112dir/trig.html   (1095 words)

  
 TRIGONOMETRY
Now using the _rotation property of a movie clip will return a value between 0 degrees and 180 degrees or if you are moving counter clock wise a value between 0 degrees and -180 degrees.
By using the cos() to find the x coordinate and sin() for the y coordinate we will have the exact (x,y) coordinates for the orange circle on the circular path (light gray circle).
The clip "center_cross_hairs" is used to reference a point or origin in the center of the movie.
www.codylindley.com /Tutorials/trigonometry   (2947 words)

  
 GameDev.net -- Ray Lighting: Creating realistic shadows for terrain   (Site not responding. Last check: 2007-10-19)
By using angle based theoretical sun rays the method is able to calculate the shadows shape and brightness in a realistic way.
The brightness of the points in the shadows is calculated using a greyscale that simulates the amount of light reaching the different points.
Using a real-time technique shadows are recalculated every frame whether or not the scene has changed.
www.gamedev.net /reference/programming/features/raylighting   (1024 words)

  
 Earliest Uses of Symbols for Trigonometric and Hyperbolic Functions
In 1632, William Oughtred (1574-1660) used sec in The Circles of Proportion (Cajori vol.
Simon Klügel in Analytische Trigonometrie (1770) used cosec for cosecant.
The practice of placing the exponent beside the symbol for the trigonometric function to indicate, for example, the square of the sine of x, was used by William Jones in 1710.
members.aol.com /jeff570/trigonometry.html   (1034 words)

  
 Lesson Guide for 3332V
Answers these questions as specific and practical uses of trigonometry are shown: land surveys, marine navigation, astronomy, amusement park rides, architecture, and others.
Benchmark: Understands characteristics and uses of basic trigonometric functions (e.g., the sine and cosine functions as models of periodic real-world phenomena).
Label this toothpick B. Use a ruler to find the length of toothpick B, the distance between point A and the base of B, and the distance between point A and the top of B. Draw a triangle to represent the measurements.
www.cfv.org /guides98/guide3332.htm   (1173 words)

  
 Trigonometry
Trigonometry is the study of the relation between angles and sides within triangles.
Using trigonometry you can find the length of an unknown side inside a right triangle if you know the length of one side and one angle.
To do this, trigonometry uses right triangles which have equal angles and studies the relation between the length of the sides.
mathematica.ludibunda.ch /trigonometry.html   (457 words)

  
 Axodys » Rational Trigonometry
Using more or less linear ideas, such as distance and angle, may be initially appealing but is ultimately inappropriate.
Rational Trigonometry uses nonlinear units (quadrances and spreads) and is not appropriate for most science and engineering problems that rely on a linear system of measures.
It was because their form of ‘rational trigonometry’ was nonlinear, and they needed a means to transform nonlinear measurements (chords and sines) to a linear unit (degree).
axodys.com /2005/09/17/rational-trigonometry   (692 words)

  
 Master Simple Math Concepts to Electrify Your ActionScript
A lot of discussion about triangles in trigonometry is about the relationship between the sides of the triangle, the angles of the triangle, or some combination of both.
One way of determining those values is by using an angle described by the triangle formed with x and y as two of it sides, as shown in Figure 3.
Using modulus can reduce the amount of code you have to write (and, therefore, maintain) and it's really useful for common every day tasks.
www.devx.com /webdev/Article/28502/1954?pf=true   (2209 words)

  
 Math Forum - Ask Dr. Math
Date: 9/15/95 at 9:7:7 From: Doctor Eric Subject: Re: maths I asked a high school trigonometry teacher that I know to answer this one for me, and here's what he had to say: Trigonometry is the study of the relations between the angles and lengths of sides of triangles.
By looking at the triangles made by tangents to the sun, moon and earth during eclipses, Aristarchus was able to determine the sizes of these bodies and their distances from the earth.
In this form it is used by surveyors, architects and engineers, as well as navigators and astronomers.
mathforum.org /library/drmath/view/53934.html   (461 words)

  
 Trigonometry--what it is good for?
Using them, the project covered the country with multiple strings of triangles in the north-south and east-west directions (the areas between the strings were left for later) and it took decades to complete.
A great deal of trigonometry is involved, but it is all done for you by the computer inside your gadget, all you need do is push the proper buttons.
Now that you know a bit about the uses of trigonometry, you are welcome to advance to the actual nitty-gritty.
www-istp.gsfc.nasa.gov /stargaze/Strig1.htm   (837 words)

  
 Ptolemy - Part 5
Trigonometry is perhaps one of the best measurement tools available for us to use.
With trigonometry, we can compute the height of buildings, angles of road curves, and areas and volumes of various shapes and figures.
There are infinitely many possibilities to use trigonometry, which is why it is so important for students to learn about this amazing branch of mathematics during their high school careers.
www.bsu.edu /web/cvjones/AlgBridge/ptolemy5.htm   (507 words)

  
 Uses of trigonometry - Wikipedia, the free encyclopedia
The resemblance between the shape of a vibrating string and the graph of the sine function is no coincidence.
There is a hint of a connection between trigonometry and number theory.
In many applications of trigonometry, it is more convenient to convert trigonometric functions to complex exponentials using two identities derived from Euler's formula:
en.wikipedia.org /wiki/Uses_of_trigonometry   (1169 words)

  
 KryssTal : Trigonometry
Using the equations descibed in this essay, it is possible to find out everything about a triangle from just a few given bits of information.
These numbers were used because they contain many factors and are easy to use.
Spherical Trigonometry is the trigonometry of triangles drawn on a sphere.
www.krysstal.com /trigonometry.html   (1111 words)

  
 Trigonometry
The most common use is to calculate linear velocity.
The equation for linear velocity is V = Wr, where V is the linear velocity, W is the angular velocity in radian which is acquire by multiply the speed by 2
Trigonometry is the most important concept of advanced math.
library.thinkquest.org /16284/ad_trig_8.htm   (176 words)

  
 Using Trigonometry
In this unit, students will explore the use of trigonometry to find unknown sides and angles in right-angled triangles, taking the concepts that were developed in the previous unit and looking at different ways of practising the new skills.
It is important that good algebraic skills are used in setting out their work, and students can be encouraged to practice these individually and using cooperative logic problems in a group situation.
Applying trigonometry to practical situations is an important aspect of this unit, and suitable practical activities involving the students going outside to take measurements using long measuring tapes and clinometers will give the students a better understanding of the wide uses of trigonometry.
www.nzmaths.co.nz /Geometry/Shape/UsingTrigonometry.aspx   (738 words)

  
 CME Project Geometry Table of Contents
Students use methods from analytic geometry and from the geometry of complex numbers to prove trigonometric identities, including the Pythagorean identity and the formulas for trigonometric functions of the sum of two angles and multiples of an angle.
They extend their uses of vectors to describe angles, lines, and planes, and they develop determinants as a way to calculate area and volume.
They also use generating polynomials as a tool for representing a discrete distribution and discover several ways to calculate a line of best fit through the data.
www2.edc.org /cmeproject/precalctoc.html   (519 words)

  
 Applications of trigonometry
As the earth is also a sphere, trigonometry is used in geography and in navigation.
Optics and statics are two early fields of physics that use trigonometry, but all branches of physics use trigonometry since trigonometry aids in understanding space.
Of course, trigonometry is used throughout mathematics, and, since mathematics is applied throughout the natural and social sciences, trigonometry has many applications.
www.clarku.edu /~djoyce/trig/apps.html   (350 words)

  
 SU Catalog, 2005-2007 Edition - Physics
Each year two sections of this course will be offered: PHYS:101:L uses high school algebra and trigonometry as the language; PHYS:101:C uses algebra, trigonometry and calculus as the language.
Each year two sections of this course will be offered: PHYS:102:L uses high school algebra and trigonometry as the language; PHYS:102:C uses algebra, trigonometry and calculus as the language.
Uses Boolean Algebra to develop the concepts of logic gates, memory elements, sequential logic, arithmetic elements, ROM and RAM.
www.susqu.edu /catalog/courses.cfm?unit=PHYS   (497 words)

  
 Trigonometry   (Site not responding. Last check: 2007-10-19)
An introduction to TRIGONOMETRY A basic primer to Trigonometry in FAQ-Outline format.
A: Trigonometry is the study of how the sides and angles of a triangle are related to each other.
Trigonometry is the art of doing algebra over the circle.
www.nightlighttutor.com /trigonometry.htm   (261 words)

  
 RoboWar Tutorial
To understand what trigonometry is good for, just think of this example: Robot A has been put in an awkward position.
Using trigonometry, it was possible for Robot A to launch on a specific heading at a specific speed.
The uses for trigonometry in RoboWar are numerous.
www.stanford.edu /~pch/robowar/tutorial/tut_07.html   (774 words)

  
 Course Descriptions - Physics   (Site not responding. Last check: 2007-10-19)
If you are viewing with Javascript disabled, please use this link to view the pages unavailable to you.
This course uses algebra, trigonometry and geometry to describe forces, kinematics, dynamics, and conservation laws.
It uses algebra, trigonometry and geometry to describe fluids, electricity, magnetism, and optics.
www.sunysccc.edu /academic/courses/catalog/PHY.html   (231 words)

  
 Geometry, Superlesson 7-3   (Site not responding. Last check: 2007-10-19)
Long ago, surveyors used various tools and their knowledge of trigonometry to calculate distances which they couldn't calculate directly.
Presently, the tools surveyors use measure distances much more precisely, but trigonometry is still used to calculate distances indirectly.
Suppose you used a geometric quadrant to measure the height of a mountain.
www.phschool.com /math/awsm/geometry/geo0703.html   (354 words)

  
 Mr. Koslow's Math Classes TeacherWeb Update Trigonometry   (Site not responding. Last check: 2007-10-19)
Trigonometry uses the techniques that students have previously learned from the study of algebra and geometry.
12.0 Students use trigonometry to determine unknown sides or angles in right triangles.
19.0 Students are adept at using trigonometry in a variety of applications and word problems.
www.teacherweb.com /CA/LACES/Koslow/uhf7.stm   (524 words)

  
 Wake Tech Course Descriptions -PHY-   (Site not responding. Last check: 2007-10-19)
This course uses algebra- and trigonometry-based mathematical models to introduce the fundamental concepts that describe the physical world.
Upon completion, students should be able to demonstrate an understanding of the principles involved and display analytical problem-solving ability for the topics covered.
This course uses calculus-based mathematical models to introduce the fundamental concepts that describe the physical world.
www.waketech.edu /catalog/coursedes/phy.html   (459 words)

  
 Math Forum - Ask Dr. Math Archives: High School Trigonometry   (Site not responding. Last check: 2007-10-19)
I am having trouble figuring out what to use when solving a triangle problem.
When I try to use the law of cosines and the law of sines on triangle ABC, with sides of length a = 3.2, b = 4.3 and c = 5.1, I get two different answers.
The Math Forum is a research and educational enterprise of the Drexel School of Education.
mathforum.org /library/drmath/sets/high_trigonometry.html   (820 words)

  
 PhysOrgForum Science, Physics and Technology Discussion Forums -> Rational trigonometry?
Speaking from the point of view of a physicist (to be clear, a sophomore in college, not a professional), for me math is mainly a means to an end, be it an answer, or understanding.
I'm hoping that, even if this doesn't catch on in mainstream schools and replace traditional trigonometry, it could be used to help facilitate understanding by presenting ideas in a simpler or more direct way.
The problem with the "rational trigonometry" system is that the simplicity of the operations is bought with nonlinearity in it's basic concepts.
forum.physorg.com /index.php?showtopic=2983   (1742 words)

  
 High School Trigonometry
Submit a question to Dr. Math about trigonometry or read previous submissions in a question and answer format.
A lesson which uses simple trigonometry to determine the distance to the planet Saturn, its diameter and its mass.
A lesson plan designed to guide students to use the Internet to find extra help with trigonometry and other mathematics topics.
www.aboutschool.com /12trig.htm   (178 words)

  
 NASA Quest > Space Team Online   (Site not responding. Last check: 2007-10-19)
Currently when the Shuttle is coming down for a landing, it homes in on some ground-based radio beacons called TACANS (don't worry about what it stands for, it's lllooonnngg!) and uses some trigonometry to figure out where it is at.
Some cars are already using GPS, and probably most cars will have it in the future.
The GPS units receive signals from a constellation of satellites that are already in orbit, then use some algebra to figure out where the Shuttle is in relation to the satellites.
quest.arc.nasa.gov /people/journals/space/dillman/02-27.html   (652 words)

  
 ASC Applied Science Core Courses   (Site not responding. Last check: 2007-10-19)
Uses algebra to solve real-world technological problems using currently available computer software.
Uses geometrical concepts to solve real-world technological problems using currently available computer software.
Uses trigonometry to solve real-world technological problems using currently available computer software.
www.asu.edu /aad/catalogs/spring_2003/asc.html   (88 words)

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