Simplify tan(x)*cot(x)

Problem

tan(x)*cot(x)

Solution

1. Identify the trigonometric identity for the cotangent function in terms of the tangent function.

cot(x)=1/tan(x)

2. Substitute the identity into the original expression.

tan(x)⋅1/tan(x)

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

tan(x)/tan(x)=1

Final Answer

tan(x)*cot(x)=1

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