A light wave is propagating with plane wave fronts of the type 
constant. Th angle made by the direction of wave propagation with the 
-axis is:
Text Solution
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The light wave is propagating with plane wave fronts described by the equation 
constant. The wave propagates in a direction perpendicular to these wave fronts. This direction is symmetric with respect to the 
, and 
axes.
Since the wave is symmetric about these axes, the angle it makes with each axis is the same. Let these angles be 
, and 
, which are the angles made by the light with the 
, and 
axes, respectively.
This implies:
According to the sum of the squares of the direction cosines:
Substituting the equality of direction cosines, we get:
Thus, the angle 
is given by:
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