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Simplify the trigonometric expression $\frac{2\sin\left(x\right)\sin\left(y\right)-\cos\left(x+y\right)\cos\left(x-y\right)}{2\cos\left(x\right)\cos\left(y\right)}$

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Main Topic: Simplify Trigonometric Expressions

Simplification of trigonometric expressions consists of rewriting an expression with trigonometric functions in a simpler form. To perform this task, we usually use the most common trigonometric identities, and some algebra.

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