## Saturday, 26 July 2014

WHAT IS THE PURPOSE OF SIN, COS, TAN IN TRIGONOMETRY?

Sin is a measure of how much perpendicular two objects are.
• It comes into picture whenever two objects/ forces act against each other ( come in the way of each other)
• So their impact is the max at 90 degrees.
• However when these same two forces or objects are parallel to each other,....their impact/influence upon each other becomes zero.
HERE'S AN EXAMPLE

NOW.... WHERE TO APPLY SIN(0)
So, now here is the tool for you.
If you are doing advanced research over something and cannot figure out where Sin(0) should come.........there is just one question you need to ask........Do these two forces/objects produce maximum impact when acting at 90 degree against each other?

If yes,....Sin(0) will come in that equation.
This is the reason by the way why in cross-product of vectors...............A X B = ABsin(0).
The cross "X" sign comes in maths whenever two things are perpendincular.

COS IS UNDER CONSTRUCTION.....

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THE ABOVE IS A EXCERPT FROM A BOOK AVAILABLE FOR PURCHASE (5\$) AT THE FOLLOWING LINK

AVAILABLE FOR PURCHASE FOR 5\$ (INR 300) HERE (PDF)

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I hardly understood Math in school. In fact was on the verge of dropping the subject I loved the most because as much as I loved the theory of it, I could not understand the math involved in it. However I loved the subject too much to be able to live without. Hopelessly, I was continuing my love-affair with it.

Then one day....a miracle happened,....while applying a certain formula again and again.....I came to know its significance. Slowly and steadily....other equations also started clicking. I got to see a strong relationship between Maths and the Physics it was pointing towards. They both were the same. Maths was just an easy language to express a physical phenomenon. And a bit more to that in the sense that it could even predict the behaviour of a certain physical phenomenon. Equations now as if came to life.

Every equation now had as if something to say. A burning urge to share these things with the world aflamed within me. So that no one has to give up the subject that he or she loves the most.
The book on visualizing maths thus got written as a sprout of inspiration. The blog followed. Both these are dedicated to you and all such similar minds searching for answers.

Visualizing Math & Physics is a blog dedicated to you and all such similar minds searching for answers.

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CONTACT
binnoypanicker@gmail.com

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#### 1 comment:

1. Hi, I just wanted to say that your articles are awesome!
I have a question: could you write an article about the significance of the equation for the trajectory of a projectile? y=x*tan(alpha) - g/2*(v*cos(alpha))^2
I have been trying to understand it for a long time.