To simplify the expression cot(x) sin(x) sin(cos(x)), we can start by recalling some trigonometric identities.
First, we know that cot(x) = rac{cos(x)}{sin(x)}. Substituting this into our expression gives us:
cot(x) sin(x) sin(cos(x)) = rac{cos(x)}{sin(x)} sin(x) sin(cos(x))
The sin(x) in the numerator and denominator cancels out, leading us to:
cos(x) sin(cos(x))
So, the simplified expression is cos(x) sin(cos(x)). This is the final result, which shows a clearer form of the original expression.