In: Physics
the Brewster angle for a certain media boundary is 33°. what is th me critical angle for total internal reflection for the same boundary?
We're given the Brewster angle 
Using the formula for the relation between critical angle and
the refractive indices of the two media 
 and 

Putting 
in the above gives us

This means the first medium is optically denser than the second.
Then using the relation between critical
angle  
and the refractive indices as

where 
 is the rarer medium and 
 is the optically denser medium.

for our case.


So the critical angle is