Find the Exact Value 29/(tan(12))

Problem

29/tan(12)

Solution

1. Identify the expression as a trigonometric ratio involving the tangent of an angle measured in degrees.

2. Recognize that 12 is not a standard reference angle (like 30 45 or 60, so the exact value must be expressed using trigonometric identities or radicals.

3. Apply the cotangent identity, where 1/tan(θ)=cot(θ) to rewrite the expression.

4. Express the final result in terms of the cotangent function for the simplest exact form.

Final Answer

29/tan(12)=29*cot(12)

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