Find the Exact Value sin(-pi/2)

Problem

sin(−π/2)

Solution

1. Identify the angle on the unit circle. The angle −π/2 represents a clockwise rotation of 90 from the positive xaxis.

2. Determine the coordinates of the point on the unit circle corresponding to −π/2 This point is located at (0,−1)

3. Apply the definition of the sine function on the unit circle, where sin(θ) is equal to the ycoordinate of the point.

4. Evaluate the sine of the angle using the ycoordinate identified.

Final Answer

sin(−π/2)=−1

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