Evaluate -cot(pi/2)

Problem

−cot(π/2)

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 π/2 into the trigonometric functions.

cos(π/2)=0

sin(π/2)=1

3. Calculate the value of the cotangent at this angle.

cot(π/2)=0/1

cot(π/2)=0

4. Apply the negative sign to the result.

−0=0

Final Answer

−cot(π/2)=0

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