If a line makes angles `60^@` and `135^@` respectively with x and y axes find the value of `cos gamma`, where `gamma` is the angle made the line with the z axis.

Explanation

To solve the problem, we need to find the value of \( \cos \gamma \), where \( \gamma \) is the angle made by the line with the z-axis. The line makes angles of \( 60^\circ \) with the x-axis and \( 135^\circ \) with the y-axis.

### Step-by-Step Solution:

1. **Understand the relationship between angles and cosines**:
The angles made by a line with the x, y, and z axes are related through the equation:
\[
\cos^2 \alpha + \cos^2 \beta + \cos^2 \gamma = 1
...