anonymous
  • anonymous
Find the amplitude of the sine curve shown below.
Mathematics
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
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anonymous
  • anonymous
amplitude is just the height of the sine curve
anonymous
  • anonymous
How do i do that? :/

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anonymous
  • anonymous
Maximum value - minimum value divided by 2
anonymous
  • anonymous
How do i work this out? I have no clue
anonymous
  • anonymous
I.e., A regular sine curve has a minimum value at -pi/2, equal to -1. At +pi/2, it's value is 1. Thus, you have \[\frac{1-(-1)}{2}=1\]For your curve, what're the max and min values?
anonymous
  • anonymous
4, -4?
anonymous
  • anonymous
Yes. Now what do you do?
anonymous
  • anonymous
the amplitude is 4, because if you look at the graph.. the amplitude is from zero to the highest point.
jim_thompson5910
  • jim_thompson5910
or amplitude = distance from middle to either extreme
anonymous
  • anonymous
@bronzegoddess "from zero" is not a solution for all possible sine curves. For example, sin(x)+1, "from zero" has an amplitude of 2, whereas in reality it's 1. @jim_thompson5910 yeah that's right but not rigidly defined.
jim_thompson5910
  • jim_thompson5910
true, but it's a good way to think about it
jim_thompson5910
  • jim_thompson5910
it's a basic way at least, if you get too rigorous, then you may confuse things (at least in my opinion)
anonymous
  • anonymous
Well that's why I didn't start getting into domains and formal declarations and such...
jim_thompson5910
  • jim_thompson5910
lol yeah, don't need to get into those ideas (just yet)
anonymous
  • anonymous
@vf321 its a simple way to think about it sorry if I am wrong.. if I was given an example like sin(x)+1 I would know that the amplitude is 1 because Asinx(Bx-C)+D, the amplitude is the number before the sin.
anonymous
  • anonymous
@bronzegoddess yes of course no attack intended just didn't want @EmilyJernigan to use that method since she doesn't have the same intuition about it that you do.
anonymous
  • anonymous
its okay, no harm intended on my part too :)
anonymous
  • anonymous
@vf321 do you think you could explain relations to me?
anonymous
  • anonymous
realtions? What do you mean?
anonymous
  • anonymous
Make a question about it and address all points. It's a bit informal doing it on someone else's question.
anonymous
  • anonymous
okay'll switch, I just wanted to know if you could help.

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