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The image provided contains a mathematical expression written in Greek characters and symbols. Here is the transcription of the formula:

\[
\frac{1 + \cos(2\alpha)}{1 - \cos(4\alpha)} \cdot \left( 4\cos(2\alpha)\cos(\nu\alpha) + 4\mu^2\eta\mu\alpha \right) = \sigma \cdot \sigma\epsilon\mu\alpha
\]

The Greek letters have been transcribed as:

- "συν" corresponds to the trigonometric function "cos" (cosine).
- "α" is the Greek letter alpha (α), commonly used as a variable in trigonometry.
- Other symbols like "ν", "μ", and "η" likely represent variables.

To better assist you in solving this equation, could you provide more context on the variables or clarify if you are looking for a particular solution (e.g., simplify, solve for a variable, etc.)?

Do you want further details or have any questions? Here are 5 related questions:

1. Should I simplify the expression further?
2. Do you want to solve for any of the variables (like \(\alpha\), \(\nu\), etc.)?
3. Would you like an explanation of how to handle the trigonometric identities involved?
4. Are the symbols \(\sigma\), \(\mu\), and \(\eta\) physical constants or parameters specific to the problem?
5. Should I explain the product on the right-hand side in more detail?

**Tip:** When solving trigonometric equations, identifying useful identities like double-angle or sum-to-product can simplify expressions significantly.

Solve the equation: \( \frac{1 + \cos(2\alpha)}{1 - \cos(4\alpha)} \cdot \left( 4\cos(2\alpha)\cos(\nu\alpha) + 4\mu^2\eta\mu\alpha \right) = \sigma \cdot \sigma\epsilon\mu\alpha \)

Learn how to solve a trigonometric equation involving double-angle cosine identities. The equation involves manipulating and simplifying expressions using key trigonometric formulas. Suitable for advanced high school students in Grades 11-12.

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