Verify the Identity tan(x)cot(x)=1

Problem

tan(x)*cot(x)=1

Solution

1. Identify the trigonometric definitions for the functions involved in the expression.

2. Substitute the definition of the cotangent function, which is the reciprocal of the tangent function: cot(x)=1/tan(x)

3. Rewrite the left side of the equation using this substitution.

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

Final Answer

tan(x)*cot(x)=1

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