How Does Refractive Index Relate to Trigonometric Identities?

AI Thread Summary
The discussion focuses on the relationship between refractive index and trigonometric identities, particularly in the context of maximizing a function. Participants suggest exploring the relationship between angles theta and phi to eliminate variables, referencing the equation sin(theta) = n sin(phi). The concept of differentiation is introduced, with one participant noting that the differential equals zero at maximum points. There is a suggestion to utilize trigonometric identities and double angle formulas to simplify the differentiation process. The conversation emphasizes the challenge of differentiating complex trigonometric functions.
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please help...
 
Try to think of a relationship between theta and phi that will get rid of one of the variables.

Then, what do you think happens when a function is at a maximum? (think calculus)
 
sin theta = n sin phi ?

the differential equals 0?
 
Yeah

so differentiate.
 
i already tried that - i will scan in what i did
 
but how do you differentiate that - i tried but came up with an absolute mess!
 
Hmm, maybe try using trig identities?

double angle formulas?
 

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