Evaluate -csc(pi/2)^2

Problem

−csc(π/2)

Solution

1. Identify the trigonometric function value for csc(π/2)

2. Recall the reciprocal identity csc(θ)=1/sin(θ)

3. Evaluate the sine function at the given angle: sin(π/2)=1

4. Calculate the cosecant value: csc(π/2)=1/1=1

5. Square the result of the cosecant function: 1=1

6. Apply the leading negative sign to the squared result: −(1)=−1

Final Answer

−csc(π/2)=−1

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