To analyze the given equation, we can start by simplifying both the numerator and the denominator. We can use sum-to-product identities for the sine terms in the numerator.

Recall the identity:

Let’s apply this to some pairs. Starting with :

Next, for :

So we can write the numerator as:

Now, simplifying the denominator:

The exact simplification of the denominator may require similar sum-to-product transformations.

Once simplified further, we can investigate the equality this provides towards establishing that:

This would involve checking that the resultant expression from the numerator equals the resulting transformation of the denominator in such a way that ultimately satisfies the equality.

Ultimately, there could be values of which could be evaluated or deduced through suitable trials or symmetry in the trigonometric functions.