Cos^2 36 - sin^2 36 / sin72

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To simplify this expression, we can use the trigonometric identity:
cos^2(x) - sin^2(x) = cos(2x)

So, the given expression can be simplified as:
cos^2(36) - sin^2(36) / sin(72)
= cos(72) / sin(72)

Now, we can use the trigonometric identity:
cos(x) / sin(x) = cot(x)

Therefore, the final simplified expression is:
cot(72)