If a line makes angles `90^o,135^o,45^o`with the x, y and z-axes respectively, find its direction cosines.

Explanation

To find the direction cosines of a line that makes angles of \(90^\circ\), \(135^\circ\), and \(45^\circ\) with the x, y, and z axes respectively, we will follow these steps:

### Step 1: Understand Direction Cosines
Direction cosines are the cosines of the angles that a line makes with the coordinate axes. If a line makes angles \(\alpha\), \(\beta\), and \(\gamma\) with the x, y, and z axes respectively, then the direction cosines \(l\), \(m\), and \(n\) are given by:
- \(l = \cos \alpha\)
- \(m = \cos \beta\)
- \(n = \cos \gamma\)

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