Find the Exact Value cot(360)

Problem

cot(360^∘)

Solution

1. Identify the definition of the cotangent function in terms of sine and cosine.

cot(θ)=cos(θ)/sin(θ)

2. Determine the values of cosine and sine at 360^∘ using the unit circle.

cos(360^∘)=1

sin(360^∘)=0

3. Substitute these values into the cotangent formula.

cot(360^∘)=1/0

4. Conclude that since the denominator is zero, the expression is undefined.

Final Answer

cot(360^∘)=undefined

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