Find the Exact Value cot(0)

Problem

cot(0)

Solution

1. Identify the trigonometric identity for the cotangent function in terms of sine and cosine.

cot(θ)=cos(θ)/sin(θ)

2. Substitute the given angle θ=0 into the identity.

cot(0)=cos(0)/sin(0)

3. Evaluate the cosine and sine functions at 0 using the unit circle.

cos(0)=1

sin(0)=0

4. Determine the value of the fraction. Since the denominator is zero, the expression is undefined.

cot(0)=1/0

Final Answer

cot(0)=undefined

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