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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