This problem is a combination of optics and derivatives

[iya]

Homework Statement

r is the angle of incidence, i is the angle of refraction. Denote the derivative dr / di as a function containing only the refractive index n and sinusoidal sini

Relevant Equations

sini/sinr=n

According to Cartesian second law, we can get this formula. but wo don't know how to do next. because we just know the sinr and sini.

 

[nrqed]

Homework Statement:: r is the angle of incidence, i is the angle of refraction. Denote the derivative dr / di as a function containing only the refractive index n and sinusoidal sini
Relevant Equations:: sini/sinr=n

According to Cartesian second law, we can get this formula. but wo don't know how to do next. because we just know the sinr and sini.

Can you post the exact question, because what is written here is not clear at all (there is not even an actual question asked). Are they asking to calculate dr/di in terms of n and sin(i) only? Then he first step is to isolate r using the Snell-Descartes law.