Find the Exact Value cot(1)

Problem

cot(1)

Solution

1. Identify the expression as the cotangent of 1 radian.

2. Recognize that 1 radian is not a standard angle (like π/6 π/4 or π/3 for which the trigonometric values are expressed using simple radicals.

3. Express the value using the definition of the cotangent function in terms of sine and cosine.

4. Conclude that since 1 is not a multiple of standard angles, the exact value is represented by the function itself or its reciprocal identity.

Final Answer

cot(1)=cos(1)/sin(1)

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