Simplify (cos(x))/(cot(x))

Problem

cos(x)/cot(x)

Solution

1. Identify the trigonometric identity for the cotangent function.

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

2. Substitute the identity into the denominator of the original expression.

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

3. Simplify the complex fraction by multiplying the numerator by the reciprocal of the denominator.

cos(x)⋅sin(x)/cos(x)

4. Cancel the common factor of cos(x) from the numerator and the denominator.

sin(x)

Final Answer

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

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