what? help me here please..?

Question

does anybody knows what Pascal's triangle means?
how can it be used in trigonometry?

Answer 1

it uses probabality
Discovered by French mathematician Blaise Pascal in 1653. Every number in the interior of the triangle is the sum of the two numbers directly above it.
Mathematics is the language of science. Something that may be difficult to picture, may be easy to understand mathematically. A mathematical equation may take up a single line whereas the same thing written in words may take up a large paragraph.
In this essay I'd like to introduce some clever ways of doing algebra and of calculations using a simple calculator. By simple calculator I mean one that does only the basics (plus, minus, multiply and divide). At the end, you should be able to calculate quite difficult roots with this calculator.

Blaise Pascal (1623 - 1662) was a French mathematician. His surname is used as the unit of pressure. One of his sayings was to note that 'had Cleopatra's nose been differently shaped, the history of the world would have been different'. He is most famous for the triangle named after him, Pascal's Triangle. In fact, the triangle was known to both the Chinese and the Arabs for several hundred years previously.

It is not a geometrical triangle but a triangle of numbers. Here it is below:


1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
1 8 28 56 70 56 28 8 1
1 9 36 84 126 126 84 36 9 1

Study these numbers and see if you can figure what the next line should be before reading on . . .

Each number in the triangle is the sum of two above. For example, the 6 on line 5 is the sum of the pair of 3's above. So the next line is

1, 10 (1 + 9), 45 (9 + 36), 120 (36 + 84), etc.

I am now apparently changing the subject and turning to a bit of algebra.

Answer 2

Pascal's triangle was first introduced by the Chinese mathematician Yang Hui, but it got it's name from Blaise Pascal who 500 years later rediscovered it along with Omar Khayyam.

The triangle is used to look for the probability of any particular event to occur. There are many other things that can be found in the triangle. Listed below are a few of them and how to achieve them.

PASCAL'S TRIANGLE
How to make Pascal's Triangle. Row 0 is the first row, it will have a 1. Row 1 is actually the second row it will have 1 and 1, but not to be confused with 11. The next row is the numbers 1 and 2 and 1. Now how did we get these numbers? 1 is ALWAYS going to be the first number in the row, but in order to make the triangle grow you add the two numbers above. Example: 1 + 2 = 3 and 2 + 1 = 3, so for the next line we will have 1 (always on the outside) and 3 and 3 and then 1 again. The next line gets even bigger, 1 (outside again) 1 + 3 = 4, and 3 + 3 = 6, and 3 + 1 = 4, and then that 1 again.



This can go on as long as anyone wants it to go.

POWER OF 11
The first 5 powers of 11 are in the top of the triangle. 110 = 1, 111 = 11, 112 = 121, 113 = 1331, and 114 = 14641. When these numbers are stacked in a pyramid it will form the top part of the triangle.

Answer 3

I'm not sure if it can be used in trigonometry. I've never heard of that. Anyway, Wikipedia has a good explanation of what it is, how it's derived, and how it can be used in geometry.