TRIGONOMETRY RATIOS & PERCENTAGES......
THE RELATIONSHIP BETWEEN THEM.
Imagine a stick casting a shadow on a wall.
Now the stick keeps changes its angle....the length of the shadow changes.
At 60 degress..... the length reduces by root of ( 3/2) times....i.e by 0.866 times.
NOTE : Actually......every ratio when multiplied by 100 gives a percentage.
To give an example.....when someone says that 2/3rd o the earth is covered with forests,......simply multiply 2/3 by 100 and you will get 66%.
Thus 2/3 means 66%.
SIMILARLY ..... .
1/2 means 50%1/4 means 25%
1/5 means 20%
So if you have problem visualizing ratios and fractions (like me).....just multiply by 100 and get the percentage form. That may help you visualize things better.
At any time for me atleast saying that 20% of something is far more intuitive than saying 1/5th.
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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.