Simplify cot(-pi/2)

Problem

cot(−π/2)

Solution

1. Apply the odd function identity for the cotangent function, which states that cot(−x)=−cot(x)

cot(−π/2)=−cot(π/2)

2. Rewrite the expression using the definition of cotangent in terms of cosine and sine.

−cot(π/2)=−cos(π/2)/sin(π/2)

3. Evaluate the trigonometric values at the angle π/2 radians.

cos(π/2)=0

sin(π/2)=1

4. Substitute the values into the fraction and simplify the result.

−0/1=0

Final Answer

cot(−π/2)=0

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