Evaluate cot(270 degrees )

Problem

cot(270^∘)

Solution

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

cot(θ)=cos(θ)/sin(θ)

2. Substitute the given angle 270^∘ into the expression.

cot(270^∘)=cos(270^∘)/sin(270^∘)

3. Determine the values of cos(270^∘) and sin(270^∘) using the unit circle.

cos(270^∘)=0

sin(270^∘)=−1

4. Simplify the fraction by dividing the values.

cot(270^∘)=0/(−1)

cot(270^∘)=0

Final Answer

cot(270^∘)=0

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