I would like to know what’s the equation of a “tilted” sine, that looks like this (no idea how to show it better).
I remember first seeing this waveform in some kind of sound synthesizer, where one of the knobs for controlling shape of the sine was doing just what im looking for – gradually turning sine to sawtooth and vice versa.
I tried using fourier series on a sawtooth wave, and getting a couple of first sines together, but the result doesn’t have that smoothness.
Answer
You can try this :
y=sin(x+yn)
Here n∈R−{0}. Positive n will “tilt” the graph left side, while negative n, right side.
For example,
When n=1, y=sin(x+y)
When n=2, y=sin(x+y2)
When n=10, y=sin(x+y10)
As n→∞, y=sin(x)
Attribution
Source : Link , Question Author : Lugi , Answer Author : Jaideep Khare
