Answer:
\(y=\sin(\frac{\pi \theta}{255})\)
B is correct.
Step-by-step explanation:
A sine function can be used to model light waves. Green light has a wave length, or period of about 510 nm .
Equation of sine wave:
\(y=\sin(ax)\)
As we know the period of sine function is 2π
Period of this function \(y=\sin(ax)\) is 2π/a
We are given the period of function is 510
Thus, \(510=\dfrac{2\pi}{a}\)
Now we will solve for a
\(a=\dfrac{2\pi}{510}\)
\(a=\dfrac{\pi}{255}\)
Required equation: \(y=\sin(\frac{\pi \theta}{255})\)
Hence, The equation for best models green light is \(y=\sin(\frac{\pi \theta}{255})\)
