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The problem provided involves a parallelogram \( BCDE \) with specific conditions on the line segments, involving trigonometric identities. The goal is to find the values of \(\cos \phi\) and \(\tan \theta\). Here's the breakdown of how to approach the solution:

### Problem Breakdown:

1. **Given**:
   - \(2 \times \text{OA} = \text{CA}\)
   - \(2 \times \text{OB} = \text{DC}\)
   - \(BCDE\) is a parallelogram.

2. **Objective

Explore the solution to a geometric problem involving parallelogram BCDE and trigonometric identities. Understand how to find values of cos φ and tan θ using trigonometric principles. Suitable for high school students studying geometry and trigonometry.

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