Mathematics the basic subject which everybody have studied in their School and college days. There are many people in the world who dislike mathematics than people who likes it. There are many reasons for it. And when we talk about Science and Engineering there can be nothing may be very little without dealing with mathematics. Since everywhere we find the application of Maths. And in engineering without trigonometry nothing could be done.
Four Basic Mathematical Proofs :
1 .What is pi and how its value was calculated?
» Perimeter of Circle
2. How area of circle was determined ?
Circumference is found in terms of a proportionality constant.
Now for the Area they (Mathematicians) with a logical thought arranged the pieces of circles in such a way that it forms a rectangle and that rectangle one side would be of length radius (r ). And remaining side was easily found by circumference. That’s all followed the procedure same as for a rectangle resulting in
Area of Circle = r *πr= πr2
And this was the story behind in finding the Area of Circle.
Also Check : The most amazing and unbelievalble facts ever know
3. How pi radians = 180º (πc=180º) ?
In this case once again we consider Circle. A radian mean an Angle subtended by an arc of length equal to the radius of the circle.
Then in circle
So by ratio we get πc = 1800
That’s the trick behind radians and degrees relation..
4. How trigonometric values are calculated ?
Generally in school days the beginning of trigonometry the pupil are taught the values of trigonometric ratios for only 300 , 450, 600, 900,..etc. As these angles can be achieved by adjusting equilateral, isosceles triangles…
For example finding the Sin (300). We first consider a triangle of side ‘a’ where we can achieve 300. We get 300 in equilateral Triangle by dropping a bisector from one side.
But for finding trigonometric ratio for any angle, First a triangle of that angle is made with the help of protractor and ruler and the sides are measured respectively using any device may be a ruler or anything and their ratio is taken to get the value of that trigonometric ratio.
And this was the method used by the people who had created trigonometric values.. This was done very easily using a machine which can measure the side lengths easily and that is nothing but a programmed computer which can calculate ratios of any angles.
These are the Four most things which you might not know in your school days.
If you like this tell your friends which are very basic to know. Any doubt on any part don’t hesitate to comment…