Find the Exact Value 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. Determine the coordinates on the unit circle for the angle 270^∘

(x,y)=(0,−1)

3. Substitute the values of cos(270^∘) and sin(270^∘) into the formula.

cos(270^∘)=0

sin(270^∘)=−1

4. Calculate the final ratio to find the exact value.

cot(270^∘)=0/(−1)

cot(270^∘)=0

Final Answer

cot(270^∘)=0

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