Simplify 1/(cot(x))

Problem

1/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.

1/cos(x)/sin(x)

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

1⋅sin(x)/cos(x)

4. Recognize the definition of the tangent function.

sin(x)/cos(x)=tan(x)

Final Answer

1/cot(x)=tan(x)

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