Optics problem, adding quantities

AI Thread Summary
The discussion revolves around the problem of summing two sine functions, Y1=sin(Wt) and Y2=sin(Wt+30 degrees). The initial attempt incorrectly simplifies the expression without applying the appropriate trigonometric identities. Participants emphasize the need to use trigonometric identities to correctly combine the two sine functions. The connection to optics is questioned, indicating uncertainty about the relevance of the problem to the course material. Proper guidance on using trigonometric identities is sought to resolve the confusion.
thezac11
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Homework Statement



-Find the sum of the two quantities:

Y1=sin(Wt) Y2=sin(Wt+30 degrees)

Homework Equations



Y(x,t)=AsinK(kx+Wt) <------- not sure if this is relevant

W=2(3.14)f , where f=frequency

The Attempt at a Solution



sin(Wt) + sin(Wt+30) = sin(Wt) + sin(Wt) + sin(30) = 2sin(Wt) + 0.5

-This is all I've got. I'm really not sure how to go about this problem, I know there something more to it than simply adding the quantities as I did. This problem is in the Optics section of my physics course, but I'm not sure how it relates to optics. Any help would be greatly appreciated.
 
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hi thezac11! :smile:
thezac11 said:
sin(Wt) + sin(Wt+30) = sin(Wt) + sin(Wt) + sin(30)

sorry, but that doesn't work at all :redface:

you need to look up your trigonometric identities :wink:​
 

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