Find the Exact Value cot(-1)

Problem

cot(−1)

Solution

1. Identify the property of the cotangent function. The cotangent function is an odd function, which means cot(−x)=−cot(x)

2. Apply the odd function property to the given expression.

cot(−1)=−cot(1)

3. Determine if the value can be simplified further. Since 1 is not a standard reference angle (like π/6 π/4 or π/3, the exact value is expressed in terms of the cotangent function itself.

Final Answer

cot(−1)=−cot(1)

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