Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#10678 Re: Help Me ! » Is there a standard way of labeling shapes? » 2011-06-24 08:36:16

hi silverpuma

i really like trigonometry.it is very cool but i have little problems with remembering formulas such as this one:
sin(a+b)=sinacosb+sinbcosa

#10679 Re: Puzzles and Games » Add 13 more and post it forever. » 2011-06-24 07:32:12

15041

how do you find the eqation for all the numbers?

#10680 Re: Help Me ! » Is there a standard way of labeling shapes? » 2011-06-24 07:28:58

hi silverpuma

do you know about Wolfram MathWorld:
http://mathworld.wolfram.com/

#10683 Re: Exercises » What do you think? » 2011-06-24 06:26:49

hi to both of you

I don't think that a and b habe to be pergect squares.For example the geometric mean of 21 and 1701 is 189 and it's integer.

#10684 Re: Help Me ! » Is there a standard way of labeling shapes? » 2011-06-23 07:53:52

hi silverpuma

don't mention it.glad i could help.what level are you on?

#10685 Re: Help Me ! » Is there a standard way of labeling shapes? » 2011-06-23 07:24:07

hi silverpuma

labeling lines and angles usually doesn't require anything strict.It only matters in similarity,homothety,isometric transgormations and such,because you have to know which point is a picture of which,and also if Δ ABC~ Δ CDE then it is usually understood that  Δ ABC is not similar to Δ CED or DCE or DEC or ECD or EDC.

Also for labeling geometric shapes every two adjacent letters are the name of an edge of that shape.So if you have a rectangle ABCD it's the same as having ADCB or BCDA or BADC and so on...

hope this helps.

#10686 Re: Exercises » What do you think? » 2011-06-22 06:24:48

yup but i don't understand anything

#10687 Re: Exercises » What do you think? » 2011-06-22 05:49:44

it says here that it should be solved using Stolz theorem but i don't know how.

#10688 Re: Exercises » What do you think? » 2011-06-22 05:40:40

hi bobbym

that is the answer but i don't know how to get to it.

#10690 Re: Exercises » What do you think? » 2011-06-22 04:30:54

hi bobbym and gAr

I need help with this problem.
We have the series:

Find the limit:

#10693 Re: This is Cool » Rubbish? » 2011-06-21 07:38:26

hi soroban
you tell him.
the person who posted "what rubbish is this??" 'clearly' doesn't know the rules for trigonometric functions of sums.

#10694 Re: This is Cool » Complex numbers!!! » 2011-06-21 05:40:32

hi gAr

I read something but not all.
Just noticed that they wrote sqrt(-1) which is incorrect.

#10695 Re: Help Me ! » Solving systems of equations using Substitution method and elimination » 2011-06-21 05:33:05

hi zee-f

As for 19. sometimes it's easier to use these methods instead of graphing.
If in an equation you had 5/7x+3/11, then it would certainly be easier to use one of these to methods.
Just so you know the elimination method is a form of the Gaussian method which can be used not only for systems of two but also three and more equations.

#10696 Re: This is Cool » Complex numbers!!! » 2011-06-21 05:00:22

hi

there are also the n-th roots of unity.The n-th root of unity are those numbers (real or complex) that on the power n gives number 1. For example:

#10699 This is Cool » Grandi's series (1-1+1-1...) » 2011-06-17 05:28:34

anonimnystefy
Replies: 8

Grandi's series is the infinite sum: 1-1+1-1...

What's interesting about it is that it cna have several 'values':
1. We can group the terms like this:
(1-1)+(1-1)...=0+0+0+0+0+...=0
2. We can group the terms this way:
1+(-1+1)+(-1+1)...=1+0+0+...=1
3. The final way that I know of is to have s be equal to the sum:
s=1-1+1-1...
s=1+(-1+1-1...)
s=1-(1-1+1-1...)
s=1-s
2s=1
s=1/2
which is quite an unusual answer.

http://en.wikipedia.org/wiki/Grandi's_series

Board footer

Powered by FluxBB