What function accurately represents the sine curve for orange light?

Question

katecc379 · Answer

@mathstudent55

11owntheworld11 · Answer

ik the anwser

mathstudent55 · Answer

http://jwilson.coe.uga.edu/EMAT6680Fa09/Gonterman/Gonterman1/Gonterman1.html

mathstudent55 · Answer

The regular sine function y = sin x has period 2pi
In this case yo have period 610 nm

mathstudent55 · Answer

y = sin (Bx)

has period $|\dfrac{2 \pi}{B}|$

mathstudent55 · Answer

Set your specific period equal to the period formula and solve for B.

katecc379 · Answer

so pi/610?

mathstudent55 · Answer

$|\dfrac{2 \pi}{B}| = 610$

$\dfrac{2 \pi}{B} = 610$

$2 \pi = 610B$

$\dfrac{2 \pi}{610} = B$

$\dfrac{\pi}{305} = B$

katecc379 · Answer

Ohhhhh i got it now that makes sense lol

mathstudent55 · Answer

$y = \sin Bx$

$y = \sin \dfrac{\pi}{305}x $

katecc379 · Answer

is my answer right for this

katecc379 · Answer

@mathstudent55

mathstudent55 · Answer

Notice first the amplitude. The function goes from -3 to 3.
A regular sine or cosine curve goes from -1 to 1.
The amplitude is 3 times greater, so there must be a multiplier of 3 to the amplitude.

mathstudent55 · Answer

All choices do have a 3 or -3.

mathstudent55 · Answer

Now let's see what happened to the horizontal position.

mathstudent55 · Answer

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