Find the Exact Value -sin(pi/2)

Problem

−sin(π/2)

Solution

1. Identify the angle on the unit circle. The angle π/2 radians corresponds to 90 which is located on the positive y-axis.

2. Determine the sine value. At the point (0,1) on the unit circle, the y-coordinate represents the sine of the angle.

3. Evaluate the sine function.

sin(π/2)=1

4. Apply the negative sign to the result.

−1⋅1=−1

Final Answer

−sin(π/2)=−1

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