Three parallel chords of a circle have lengths 2,3,4 units and subtend angles `alpha,beta,alpha+beta` at the centre, respectively `(alphaltbetaltpi),` then find the value of `cosalpha`

Explanation

To solve the problem, we will follow these steps:

### Step 1: Understand the Problem
We have three parallel chords of lengths 2, 3, and 4 units that subtend angles α, β, and α + β at the center of the circle, respectively. We need to find the value of cos(α).

### Step 2: Set Up the Geometry
Let the center of the circle be O. The chords are AB, CD, and EF with lengths 2, 3, and 4 units, respectively. The angles subtended at the center are:
- Angle AOB = α
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