high
  • high
how can i draw a graph of mod(y)=cosx ???
Mathematics
katieb
  • katieb
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sandra
  • sandra
hello high
sandra
  • sandra
well, mod(y)=cosx is really two separate graphs (well, the same graph, but there are two distinct parts.)
high
  • high
i think itll look like bubbles

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high
  • high
am not so sure...
shadowfiend
  • shadowfiend
Are you sure that's a correct problem? What is `mod'?
high
  • high
modulus..
high
  • high
!y!
shadowfiend
  • shadowfiend
Yeah sorry. I've never seen mod used that way :)
shadowfiend
  • shadowfiend
So you're right if you mean bubbles as in just the parts where cos is above the x axis.
shadowfiend
  • shadowfiend
Because the absolute value (or modulus) of y must be positive, by definition, this function isn't defined if y < 0. Since cos(x) is sometimes negative, those parts of the cos(x) plot are not valid for this particular function, because they don't make any sense.
shadowfiend
  • shadowfiend
I am wrong!
high
  • high
i think so
shadowfiend
  • shadowfiend
Ah, I see what you mean about bubbles now. Yes, I think you're correct.
shadowfiend
  • shadowfiend
Because negative values of y will mirror the positive values.
high
  • high
will you please explain?
shadowfiend
  • shadowfiend
Well, basically, what the above function means is really two different functions: \[y = \left\{\begin{align}\cos x\text{ when }y >= 0\\\cos y\text{ when }y < 0\end{align}\right.\]
shadowfiend
  • shadowfiend
Hm. Sorry: \[y = \left\{\begin{matrix}\cos x\text{ when }y >= 0\\\cos x\text{ when }y < 0\end{matrix}\right.\]
sid1729
  • sid1729
The function only exists for cos x > 0, because absolute values cannot be negative. There will be two functions: y = cos x -y = cos x so for each x (when cos x >0), you will have two values - one positive and other negative, both having the same absolute numerical value
sid1729
  • sid1729
take an example: let x be \[\frac{\pi}{2}\] now, y = \[\frac{1}{\sqrt(2)}\] and -y = \[\frac{1}{\sqrt(2)}\] So, we put those two together in the same graph.

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