# List of points of an increasing sine function

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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• $A(t) \sin \omega t$, where $A(t)$ is increasing? But "reaching to peak of 0 and 1" makes no sense to me -- can you clarify? – Michael E2 Nov 21 '15 at 1:39
• Hi, the movements of the sine should have a maximum of 0 and 1. I think this could be achieved with a Rescale. – fragmentsinabox Nov 21 '15 at 9:21

Here's a sin wave with increasing amplitude:

Plot[t Sin[2 Pi 20 t], {t, 0, 1}] If you want samples of this:

sam = Table[t Sin[2 Pi 20 t], {t, 0, 1, 0.01}];

• Thank you a lot @bill_s, I'll try it :) – fragmentsinabox Nov 21 '15 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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