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)
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)