Simplify cot(x)*sin(x)

Problem

cot(x)*sin(x)

Solution

1. Identify the trigonometric identity for the cotangent function.

cot(x)=cos(x)/sin(x)

2. Substitute the identity into the original expression.

cos(x)/sin(x)*sin(x)

3. Simplify the expression by canceling the common factor of sin(x) in the numerator and the denominator.

cos(x)

Final Answer

cot(x)*sin(x)=cos(x)

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