Question

The graph of the sine curve below is of electromagnetic energy that represents green light:

Answer 1

What function accurately represents the sine curve for green light?

f(x) = sin pi over 290x

f(x) = sin 290πx

f(x) = sin 580πx

f(x) = sin pi over 580x

Answer 2

@campbell_st

Answer 3

well it looks like a sin curve with and amplitude of 1

Answer 4

Which means...

Answer 5

so the period is 580 nanometeres


the period is basically

\[\frac{2\pi}{b} = 580\]

find the value of b

then the equation should be

\[y = \sin(bx) \]

Answer 6

okayyyy, how do I find b?

Answer 7

well the easy thing to do is swap b and 580... then simplify the fraction

Answer 8

okay i will :) one sec

Answer 9

uhhhh help me bc i got a decimal

Answer 10

well just simplfy the 2/580 part... what do you get

Answer 11

do i divide?

Answer 12

well they are both even numbers... so halve them both

Answer 13

290

Answer 14

OHHH IS IT THE SECOND OPTION

Answer 15

great so b = pi/290

Answer 16

(2pi)/580 = pi/290

Answer 17

oh so its the first one

Answer 18

that makes sense given the value of b you found

Answer 19

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