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Search Results - Trigonometry

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Trigonometry (from Greek trigonon "triangle" + metron "measure")[1] is a branch of mathematics that studies triangles, particularly right triangles. Trigonometry deals with relationships between the sides and the angles of triangles and with the trigonometric functions, which describe those relationships, as well as describing angles in general and the motion of waves such as sound and light waves.

Trigonometry is usually taught in secondary schools either as a separate course or as part of a precalculus course. It has applications in both pure mathematics and in applied mathematics, where it is essential in many branches of science and technology. A branch of trigonometry, called spherical trigonometry, studies triangles on spheres, and is important in astronomy and navigation.

Pre-Hellenic societies such as the ancient Egyptians and Babylonians lacked the concept of an angle measure, but they studied the ratios of the sides of similar triangles and discovered some properties of these ratios. Ancient Greek mathematicians such as Euclid and Archimedes studied the properties of the chord of an angle and proved theorems that are equivalent to modern trigonometric formulae, although they presented them geometrically rather than algebraically. The sine function in its modern form was first defined in the Surya Siddhanta and its properties were further documented by the 5th century Indian mathematician and astronomer Aryabhata.[2] These Indian works were translated and expanded by medieval Islamic scholars. By the 10th century Islamic mathematicians were using all six trigonometric functions, had tabulated their values, and were applying them to problems in spherical geometry. At about the same time, Chinese mathematicians developed trigonometry independently, although it was not a major field of study for them. Knowledge of trigonometric functions and methods reached Europe via Latin translations of the works of Persian and Arabic astronomers such as Al Battani and Nasir al-Din al-Tusi.[3] One of the earliest works on trigonometry by a European mathematician is De Triangulis by the 15th century German mathematician Regiomontanus. Trigonometry was still so little known in 16th century Europe that Nicolaus Copernicus devoted two chapters of De revolutionibus orbium coelestium to explaining its basic concepts.

If one angle of a triangle is 90 degrees and one of the other angles is known, the third is thereby fixed, because the three angles of any triangle add up to 180 degrees. The two acute angles therefore add up to 90 degrees they are complementary angles. The shape of a right triangle is completely determined, up to similarity, by the angles. This means that once one of the other angles is known, the ratios of the various sides are always the same regardless of the overall size of the triangle. These ratios are given by the following trigonometric functions of the known angle A, where a, b and c refer to the lengths of the sides in the accompanying figure

Showing 1 to 15 of 15 Articles matching 'Trigonometry' in related articles.
Pages: 1

1. My Pungent Addiction
September 25, 2009

Back in 1999, I was a 15 year old high school kid struggling with tough subjects like Trigonometry and Calculus. Mama told me to visit our Korean neighbors to solve my numerical burdens. All I have to do is spend a few hours with them talking in English in exchange for my free Math lessons! When I entered their home, their was a very strong and pungent smell. It doesn't smell like anything my sensitive nose has encountered! After an hour or two of equations and conversations in broken English, I felt the need to escape! The scent from the kitchen was so strong that my olfactory nerves wer... (read more)

Author: Fritzie Villaruz

2. Homeschooling
August 18, 2009

Many well intentioned parents started out homeschooling their Kindergarten kid. Teaching a little kid basic math skills is pretty straightforward to most parents even if they weren't truly powerful in math. However, what about when that sweet tiny five year old requires a Trigonometry or Calculus teacher? Some fogeys are faced with this challenge sooner than they were expecting. Come visit us right here for more homeschool and home schooling Info and get a bunch of great Homeschool Tip Ebooks Homeschool Classifieds. http://www.HomeSchoolJewel.com advanced math classes are not subjects that... (read more)

Author: Coy Orr

3. How to Read a Ruler
August 04, 2009

A ruler is one of the basic materials that are required in school. We remember using it to make straight lines during art classes. Your trigonometry teacher has also asked you to use a protractor, which is also a form of a ruler. We have been using a ruler since kindergarten (and maybe even before that), yet there are some who have taken for granted learning how to properly use a ruler. If you are teaching a kid on using one, here are some tips. 1. Determine the difference between metric and English systems. The twelve-inch ruler usually has two types of measurements – the metri... (read more)

Author: Kenny Leones

4. Math Tutoring Connection: Where Tutors and Tutees Unite!
April 07, 2009

Hi there. Welcome to Math Tutoring Connection. Here you will be able to connect with tutors and tutees from around the world. Everyone knows that mathematics is a rigorous subject. The purpose of this site is not just for those who need help with mathematics to seek helpers but it is also for helpers to seek those who need help. Every time you turn around, someone is failing mathematics as well as scoring low on standardized tests in schools across the country. A good reason for this is that mathematics is a weakness among most students and there are simply not enough tutors to help... (read more)

Author: Carlton Coleman

5. Why investing in a Corporate Training Library will better your Business
March 16, 2009

It’s not as difficult a formula as you learned in trigonometry class, but there are definitely a number of steps to go through to build a satisfied customer base. Beyond the basics – having a good product or service to begin with, being honest and dependable in all your dealings, having employees with character and people skills – it comes down to good training, the type that is ongoing and covers all the bases. A corporate training library could be just the missing ingredient that your business needs to give your employees the edge in an ever more competitive marketpla... (read more)

Author: Hugh Nguyen

6. Do You Have What It Takes To Be a Property Surveyor?
March 10, 2009

Who becomes a property surveyor and is it a good career? Those may be the questions you ask yourself when thinking about your career path. You know those men and women in the fluorescent vests, surrounded by construction cones looking through what appears to be an old style camera? Those could soon be your people! People with a love for geometry, trigonometry and engineering are often drawn to property surveying careers. If you find planning communities, architecture and urban development exciting, look to property surveying as an exciting career option. Education High school, college st... (read more)

Author: 10x Marketing

7. Where to Find Immediate Math Help
March 05, 2009

Math is not easy for me. It takes me a lot of brain power to understand and learn math. Math education was not my strong point either. It took me extra hours, tutoring and lots of math games to help me learn math. I'm talking about high school math. You know geometry, algebra, trigonometry, and the like. More than that, I remember having to sit for long hours trying to figure out how to study or do my math homework without my dad's help. I would get Math Anxiety, and my palms would sweat and my heart would flutter and I would write, erase, write, erase and the list goes on. Now I find my... (read more)

Author: Judy Stevens

8. Getting to A: Before I Failed, I Went Online
January 13, 2009

I just brought home a report card that I thought I would never see. I was having lots of trouble getting my trigonometry and chemistry classes ironed out. I knew that I could get it if I just had a little more time to apply what I was learning, but there was just no time in class. Class sizes in my high school have at least twenty seven kids in each class, and that means that my teachers have their hands full throughout class. Sure, teachers have after school hours for extra help, but they have at least five classes each full of kids like me that needs help. Fifteen minutes after school ... (read more)

Author: Kaila Morris

9. Land Surveyors Services
December 30, 2008

Surveying means accurately determination of the terrestrial or three-dimensional space positions of points and the distances and angles between them. This are the positions based on the surface of the earth. They help to draw maps and boundaries for ownership purposes. There are different tools such as mathematics, geometry, trigonometry, physics, law used in surveying. Land Surveying is a process through which land is measured. It helps in planning, designing, and establishing of boundary of properties. Land surveying can also include services such as mapping, construction layout surveys, pr... (read more)

Author: john .

10. Raising Honest Children
December 02, 2008

My daughter Katie was a child prodigy. Most would be proud; I was not. You see, Katie did not master trigonometry at 3, or pick out Bach symphonies at 5. Instead, my Katie was a gifted liar. She figured out how to lie before children are supposed to realize there is any advantage to it. By age three, most kids have figured out that lying may be a way to escape the time out chair. My child, when she was barely two, would brazenly claim that she had not eaten that last cookie, despite the crumbs all over her face. Lying is an Epidemic Unfortunately, recent studies predict that Kat... (read more)

Author: Sheila Gregoire

11. How You Can Measure The Size Of Planets
October 16, 2008

Ever wondered how scientists came up with planet sizes? It's not like somebody took a really long measuring tape and wrapped this around one planet to take its specs, right? Well, it has to do with mathematics and the gift of observation. Distance did it Back in the day, it was Copernicus who found out how to compute the approximate distance between planets by using trigonometry. It was discovered that the distances were all relative to the distance between the Sun and our planet Earth, called the astronomical unit. Only problem was, the scientists during that time didn't know the figure... (read more)

Author: Jeff Seward

12. Vedic Mathematics in a nutshell
May 27, 2008

Arrgh!!! Well! If this is your reaction upon hearing the word “MATH”, you are not alone. You too are part of that ever increasing family which loves to hate it. I’d like to quote Thomas Friedman – The World Is Flat. It indeed is. (And Oh, I don’t want to offend the geography and science people.) We are all on a level playing field when it comes to Math. It has always been the pet-peeve of most of us. Do you still remember the stories in the Reader where the valiant hero fights with the tiger? Interesting, weren’t they? The only difference (though a major one) between Math and t... (read more)

Author: Jannat Bhullar

13. The Fourteen Focul Points of Success: #8 Education
December 12, 2007

Learning is important. We hear that it is from our politicians, teachers, parents, peers. But they couldn't be more wrong. Because what is learned is so much more important than merely learning or learning what is only perceived to be appropriate knowledge. And learning US history, English literature, trigonometry, chemistry, biology is a complete waste of time . . . if in learning them you are simply doing what you are told. (I had a student come to me with a serious problem: habitual procrastination. I told her to stop doing what she was told and get to doing what she loves. End of procrasti... (read more)

Author: Jeff Brown

14. Do you hate trigonometry?
April 03, 2007

Not your cup of tea, huh? Try out the following steps: 1. Start with writing 1 identity on a piece of paper. An example would be Tan Square Theta +1=Cosec Square Theta. Divide the paper vertically into 3 columns. 2. In the first column, divide all the terms by Sin Square Theta and write down the results. 3. In the next column divide all the terms by Cos Square Theta and write down each step. 4. Next divide all the terms by Tan Square Theta and write your results in the third column. 5. What do you see? I will tell you the first 3 things that I observed when I did it myself as a ki... (read more)

Author: Ishani Dutta

15. Math Tutors
March 13, 2006

A math tutor is a private instructor who teaches the subject to an individual student or a small group. Such focused, one-on-one attention allows the tutor to improve the student's knowledge or skills far more quickly than in a traditional classroom setting.Qualified tutors provide mathematical assistance to students of all academic levels spanning from elementary math to graduate level math including algebra, geometry, trigonometry, calculus, statistics, accounting, finance, economics, SAT, ACT, GRE, and GMAT. These tutors evaluate the student’s math deficit and provide instructions customize... (read more)

Author: Max Bellamy

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