IMPORTANCE OF TRIGONOMETRY

The Canadarm2 robotic manipulator on the International Space Station is operated by controlling the angles of its joints. Calculating the final position of the astronaut at the end of the arm requires repeated use of trigonometric functions of those angles.

Trigonometry (from Greek trigōnon "triangle" + metron "measure" or from Sanskrit trikon "triangle" + miti "measurement" = trikonmiti  is a branch of mathematics that studies triangles and the relationships between their sides and the angles between sides. Trigonometry defines the trigonometric functions, which describe those relationships and have applicability to cyclical phenomena, such as waves. The field evolved during the third century BC as a branch of geometry used extensively for astronomical studies.

Trigonometry is usually taught in middle and secondary schools either as a separate course or as part of a precalculus curriculum. It has applications in both pure mathematics and 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.

MATHEMATICS IN 21ST CENTURY

MATH DISCOVERIES IN THIS CENTURY

2002-Manindra Agrawal, Nitin Saxena, and Neeraj Kayal of IIT Kanpur present an unconditional deterministic polynomial time algorithm to determine whether a given number is prime (the AKS primality test),

2002 – Yasumasa Kanada, Y. Ushiro, Hisayasu Kuroda, Makoto Kudoh and a team of nine more compute π to 1241.1 billion digits using a Hitachi 64-node supercomputer,


2002 – Preda Mihăilescu proves Catalan's conjecture,


2003 – Grigori Perelman proves the Poincaré conjecture,


2007 – a team of researchers throughout North America and Europe used networks of computers to map E8.[13]

MATHEMATICS IN DAILY LIFE

Mathematics, in itself, has all the ingredients that make it a universal language shared by all human beings irrespective of culture, religion, or gender. like addition, subtraction, etc. never get changed due to a change in the location or for any other reason whatsoever. These all say about the close interaction of mathematics in our daily life.

At a time when even a common man is being increasingly dependent upon the application of science and technology in the day-to-day activities of life, the role of mathematics has undoubtedly been redefined. Right from getting up in early hours of the day to the ringing of an alarm, to wait for the counts of whistles of the cooker, to exchange currency at a ticket outlet while availing a public conveyance, almost every next moment we do the simple calculations at the back of our mind.

Reading time on a watch, rounding a date on a calendar, checking up the mileage of your car, halting at the filling station, attending to a roll call at school, getting scores in the class exams, scoring in a game, betting on a horse race, preparing a recipe in the kitchen, - the list is just endless if one goes on to note down the situations when our computational skill.

At a psychological level, exposure to mathematics helps in developing an analytic mind and assists in better organization of ideas and accurate expression of thoughts. At a more general level, far away from dealing with the higher mathematical concepts, the importance of mathematics for a common man is underpinned whenever he visits banks, shopping malls, railways, post offices, insurance companies, or deals with transport, business transactions, imports and exports, trade and commerce, Even when we think of role of mathematics in our recreational activities, we surprisingly have a list that runs quite long: video games, computer games, puzzles, riddles, and so on.

It ensures from the above discussion that a modern life style seems completely handicapped and at times, highly impossible, in the absence of mathematics. we would find it difficult to reach at important decisions and perform everyday tasks.

HOW TO EXCEL IN MATHEMATICS

People who excel at mathematics use better strategies than the other; they don't necessarily have better brains. We teach simple strategies that can have you multiplying large numbers in your head, doing mental long division, even squaring and finding square roots of numbers off the top of your head.

And here is a secret. People equate intelligence with mathematical ability. In other words, if you are able to do lightning calculations in your head, people will think you are intelligent in other areas as well.

Here is one of my most important rules of mathematics. It is an unfair rule, but it is a rule just the same.

The easier the method you use to solve a problem, the faster you will solve it and there is less chance of making a mistake. The more complicated the method you use, the longer you take to solve it and greater the chance of making a mistake.

So, the people who use better methods are faster at getting the answer and make fewer mistakes. Those who use poor methods are slower getting the answer and make more mistakes. It doesn't have much to do with intelligence or having a "mathematical brain."

The methods are more than techniques for fast calculation. They develop strategies for general problem solving. If you don't know, or haven't been taught how to solve a problem, you will work out your own method.

THE KEY SPEED OR FAST TRACK IN MATHEMATICS

key speed depends on your logical thinking towards a particular question .

some times immediately you may not get the perfect idea to solve the question.

at this moment fear begins,confidence level swings ups and down.

do not fear,try and try again to understand and remember the required concepts clearly

to solve any problem. nature yourself the concept, after thorough understanding from

beginning to conclusion.

STEPWISE OBSERVATION IN ANY SOLUTION FOR A PROBLEM

observe each step carefully while solving any problem . In any solution think, which crucial step is applied in each step it may be

1.algebraic Step OR

2.arithmetic steps OR

3.geometrical steps OR

4.graph diagram steps OR

5.formula step OR

6.theorem step OR

7.unit conversion step OR

8.symbol step OR

9.assumption OR

10.balancing the equation step OR

11.substution step OR

12.analysis step OR

these are twelve important steps for a solution of a problem

HOW TO MAKE THE SUBJECT SIMPLE

CHAPTERWISE OBSERVATION IN ANY CLASS

we have to observe that each chapter belongs to which section out of four main sections are arithmetic,algebra,geometry and graphs.

first observe all the chapters from your class text book and decide that which chapter belongs to which section. with this you can get a perfect idea of any chapter easily in maths with a birds eye view.

next segregate each chapter belongs to which section out of these four main sections only,which are arithmetic,algebra,geometry and graphs.

Now in your mind willget a clear picture and starts thinking towards mathematics , slowly the complete fear goes away from your mind. This is the easy way to learn mathematics, which is definitely creates interest on this particular subject.