Yes that is correct.
y=sinx (or y=cosx) has a wavelength of 2pi
The symbol for wavelength is lambda. so \(\lambda=2\pi\)
y=sinx =sin(1x) wavelength (lambda)= \(2\pi\)
y=sin(2x) wavelength = \(\frac{2\pi}{2}=\pi\)
\(y=sin(\frac{x}{4}) =sin(\frac{1}{4}\pi)\) wavelength \(\lambda=2\pi\div(\frac{1}{4})=8\pi\)
So, for cos and sin graphs, the wavelenth will be 2pi divided by the coefficient of x
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For the next two questoins, do a freehand sketch BEFORE you check using Desmos
If
1) y=asin(kx) then what is (answer in terms of a and k)
a)amplitude
b)midline
c) yintercept
d) wavelength
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If
2) \(y=4-3sin(\frac{x}{4})\)
a) What is the coefficient of x, I mean what number is x multipled by?
b)amplitude
c)midline
d) yintercept
e) wavelength