If 4tanθ - 3 = 0, then find the value of (1 - cos 2θ) / (1 + cos 2θ).

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Step 1: Given 4tanθ - 3 = 0, solve for tanθ.
4tanθ = 3
=> tanθ = 3/4

Step 2: Recall the identity for tan²θ in terms of cos 2θ:
We know that (1 - cos 2θ) / (1 + cos 2θ) = tan²θ.

Step 3: Calculate tan²θ:
(tanθ)² = (3/4)² = 9/16

Step 4: Therefore, (1 - cos 2θ) / (1 + cos 2θ) = 9/16.

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