Prove that p = (k theta x)/( y theta + y theta)

Here are the steps to solve the problems:

: Prove that $p = \frac{k \sin \theta \tan x}{\sin y \cos \theta + \cos y \sin \theta}$

Step 1: Analyze the diagram and identify relevant triangles.
From the diagram, we can identify two main triangles: $\triangle ADB$ and $\triangle DBC$.
The right angle symbol at B on the line AC indicates that DB is perpendicular to AC, so $\angle DBA = 90^\circ$.
The right angle symbol at P on the line AD indicates that PB is perpendicular to AD, so $\angle APB = 90^\circ$.
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