I'm trying to obtain a list of the points of an amplitude-increasing sine function. I would like to give a certain value for input, e.g. 0.5. Sine will start increasing and decreasing from this point, at the same time it will start increasing in amplitude in a given time, reaching to peak of 0 and 1. How can I do that?

I tried with this really rough solution, still improving my Mathematica skills :)

sinIncrease[inValue_] := Module[{y, z, f},
  y = Range[0.001, 1., .001];
  z = Range[0.001, -1., -001];
  f = Riffle[y, z];
  inValue + f`

Thank you, D

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    – Michael E2
    Commented Nov 21, 2015 at 0:47
  • $\begingroup$ $A(t) \sin \omega t$, where $A(t)$ is increasing? But "reaching to peak of 0 and 1" makes no sense to me -- can you clarify? $\endgroup$
    – Michael E2
    Commented Nov 21, 2015 at 1:39
  • $\begingroup$ Hi, the movements of the sine should have a maximum of 0 and 1. I think this could be achieved with a Rescale. $\endgroup$ Commented Nov 21, 2015 at 9:21

2 Answers 2


Here's a sin wave with increasing amplitude:

Plot[t Sin[2 Pi 20 t], {t, 0, 1}]

enter image description here

If you want samples of this:

sam = Table[t Sin[2 Pi 20 t], {t, 0, 1, 0.01}];
  • $\begingroup$ Thank you a lot @bill_s, I'll try it :) $\endgroup$ Commented Nov 21, 2015 at 9:25

I am not sure get what you want or not but this is a simple approach:

Table[RandomReal[]*Sin[x], {x, 0, 2 Pi, Pi/12}]
Table[2 RandomReal[] + 3 Sin[x], {x, 0, 2 Pi, Pi/12}]
Table[(-1)^RandomChoice[{0, 1}]*2 RandomReal[] + 3 Sin[x], {x, 0, 
  2 Pi, Pi/12}]

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