Find the Value Using the Unit Circle 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. Determine the coordinates (x,y) on the unit circle for the angle θ=π/2

(x,y)=(0,1)

3. Substitute the values cos(π/2)=0 and sin(π/2)=1 into the cotangent formula.

cot(π/2)=0/1

4. Simplify the fraction to find the final value.

cot(π/2)=0

Final Answer

cot(π/2)=0

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