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Melody

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यूजर का नामMelody
स्कोर118691
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Melody  11 Feb 2022
 #2
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Hi Special

Consider y=sin(x)
This is the most basic of sine funtions.
It has an amplitude of 1 and a wavelength of 2pi radians (360degrees)
Amplitude is the distance from the centre of the wave to the highest point (resting point to peak)
Wavelength (the symbol is the upside down y thing called Lambda) is the distance the wave travels in one cycle.

Now look at a slightly more complicated one
y=Asin(Bx)
This time the amplitude is A
and the wavelength is 2pi / B

Do you need more than this?

https://www.desmos.com/calculator/nzql7i9y90
I've set the sliders for A=1 and B=1 you can move them to see what happens if A and B have different values.

Let me know if this helps you to understand. or if you want me to show you something different.
Edited: I just realised that you wanted horizontal shift.
I added in a horizontal phase shift. (The actual phase shift is C/B)
so
I have used the formula Y=Asin(Bx-C)
To get the phase shift I think it is easier to think of it as Y=Asin[ B (x-C/B) ]
If C is positive then -C will move the graph in the pos direction and +C will move it in a negative direction.
https://www.desmos.com/calculator/ibwmyzjshm
Remember, if you want the slider value to be pi you will need to enter 3.14159 but it only deals with one dec place so I guess that is 3.1

Desmos is great for checking graphs that you draw and for helping you with problems.
Here is another page I found if you want different help.
http://www.regentsprep.org/Regents/math/algtrig/ATT7/phaseshift.htm

Melody
7 Jan 2014
 #38
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Excellent.
7 Jan 2014