Math Is Fun Forum

Don't ever try to derive a mnemonic for pi.......
That would be a useless exercise....

Mathsy, I think you missed this post!
With all the available technology, you could have well improved upon those digits!

Oh I am tired of this......................
TRUCE..............at 140 Decibels.....:)

mathematics is for all of us,
the poorer are always trhe better,
my Guru is Niels Henrik Abel, born in Norway

My head is reeling

Algebra is using of variables like x,y,z etc to solve mathematical problems.
For example, if you have this problem
#1
When 53 is added to a number, you get 70. What is the number?
The solution would start this way.
Let x be the number.
Therefore, 53 + x = 70
                        x = 70 - 53 = 17

#2
25 added to the double of a number is 95. What is the number?
Solution:-
Let x be the number.
Therefore, 25 + 2x = 95
                        2x = 95 - 25 = 70
                         x = 70/2 = 35 

There are actually six variables...x,y,z,a,b,c

Yes, sometimes the better team loses

Of the five numbers considered important in mathematics, this number relates four.
I think this equation was given by Loenard Euler.
This, I think,  is a result of
e^(i*theta) = cos (theta) + i sin(theta)
and
Abraham de Moivre's theorem, according to which
(Cos(theta)+i*sin(theta))^n = cos n(theta) + i*sin n(theta)
which can be written as
e^(n*i*theta) = Cos n(theta) + i*sin n(theta)

Cos(Sin A) is always greater than Sin (Cos A),
as rightly pointed out by Mathsy!
We shall test this for three values in the first quadrant, in degrees.
First, 0.01°.
Cos (Sin A) > Sin(CosA).
Next, for 45°
Again, Cos (Sin A) > Sin(CosA).
Finally, for 89.9°
Yet again, we get the same result.
I shall try to search for a proof, or prove it myself!

We would be missing you two!
Bon Voyage!