Find the equation of the straight line upon which the length of perpendicular from origin is `3sqrt(2)` units and this perpendicular makes an angle of `75^@` with the positive direction of x-axis.

Explanation

To find the equation of the straight line upon which the length of the perpendicular from the origin is \(3\sqrt{2}\) units and this perpendicular makes an angle of \(75^\circ\) with the positive direction of the x-axis, we can follow these steps:

### Step 1: Understand the Geometry
The perpendicular from the origin to the line makes an angle of \(75^\circ\) with the x-axis. The length of this perpendicular is given as \(3\sqrt{2}\).

### Step 2: Determine the Coordinates of the Foot of the Perpendicular
Let \(C\) be the foot of the perpendicular from the origin \(O(0, 0)\) to the line. The coordinates of point \(C\) can be determined using the angle and the length of the perpendicular:
- The x-coordinate of \(C\) is given by:
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