For a ray of light refracted through a prism of angle `60^(@)`, the angle of incidence is equal to the angle of emergence, each equal to `45^(@)`. Find the refractive index of the material of the prism.

Explanation

To find the refractive index of the material of a prism with an angle of 60 degrees, where the angle of incidence (I) and angle of emergence (E) are both 45 degrees, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Angle of the prism (A) = 60 degrees
- Angle of incidence (I) = 45 degrees
- Angle of emergence (E) = 45 degrees
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