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Find the Exact Value cot(-4)

Problem

cot(−4)

Solution

  1. Identify the property of the cotangent function as an odd function, which states that cot(−x)=−cot(x)

  2. Apply the odd function property to the given expression to move the negative sign outside the function.

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

Final Answer

cot(−4)=−cot(4)


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