How do you map sine functions to sine curves?

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Naseweissz
9 months ago

Without knowing the exact task, the question is not fully answered.

But if you set the following function:

A*sin(b*x+c) can be assigned the sine function to a drawing via the parameters a b and c

A changes the amplitude, i.e. the maximum value, of the sine curve

B thus changes the frequency, so to speak, the distance of the zero points

C changes the phase shift

If I remember it correctly, the sinus curve went through the coordinate line jump, so that c shifts the curve by the value from c to the right.

Does that help?

pchem
9 months ago
Reply to  Naseweissz

A*sin(b*x+c)

In this form, b would be the frequency, but the phase shift, which would be read from the sketch, would not correspond to c but c/b, because in your writing the changed frequency would already be calculated with the phase shift. Better use this form:

y = sin(b•(x+c))

hamberlona
9 months ago

Functions are assigned curves by marking each curve with the function it represents. At sin(x) the curve goes upwards through the zero point, at sin(x-PI) it goes downwards through the zero point, at sin(x-PI/2) it has a maximum in +1 at the zero point and at sin(x+PI/2) it has a minimum at the zero point (−1).

But I won’t let go of the suspicion that you want to know something completely different and you didn’t manage to express yourself understandably.

pchem
9 months ago

If the prefactor of the argument increases, then the frequency of the waves increases; if a constant is added to x, then the entire graph is shifted to the left by this value; increases the prefactor of the sine value, then the amplitude of the waves becomes greater and a constant is added to the sine value, then the entire function is shifted upward by this value.