Question

PLEASE HELP! The graph of the sine curve below is of electromagnetic energy that represents orange light:

What function accurately represents the sine curve for orange light?

A. f(x) = sin pi over 610x
B. f(x) = sin pi over 305x
C. f(x) = sin 610πx
D. f(x) = sin 305πx

Answer 1

Answer: Choice B
f(x) = sin((pi/305)x)

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Step-by-step explanation:

The general sine function is
y = A*sin(Bx-C)+D

The period is 610 nm since the curve repeats itself after this point.
T = period
T = 610

Use this to find the value of B
B = 2pi/T
B = 2pi/610
B = pi/305

So this is why the answer is choice B) f(x) = sin((pi/305)*x)