A line makes angles of measures `(pi)/(6)` and `(pi)/(3)` with X-and Z-axes respectively. Find the angle made by the line with the Y-axis.

Explanation

To solve the problem, we need to find the angle made by a line with the Y-axis, given that it makes angles of \(\frac{\pi}{6}\) with the X-axis and \(\frac{\pi}{3}\) with the Z-axis.

### Step-by-Step Solution:

1. **Define the Angles**:
Let the angles made by the line with the X, Y, and Z axes be denoted as \(\alpha\), \(\beta\), and \(\gamma\) respectively. According to the problem:
- \(\alpha = \frac{\pi}{6}\) (angle with X-axis)
- \(\gamma = \frac{\pi}{3}\) (angle with Z-axis)
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