Find the Exact Value sin(-pi)

Problem

sin(−π)

Solution

1. Identify the angle on the unit circle. The angle −π radians represents a half-rotation in the clockwise direction starting from the positive xaxis.

2. Determine the terminal point coordinates. A rotation of −π radians ends at the point (−1,0) on the unit circle.

3. Apply the definition of the sine function. For any point (x,y) on the unit circle, sin(θ)=y

4. Substitute the ycoordinate from the terminal point. Since the ycoordinate at −π is 0 the value of the sine function is 0

Final Answer

sin(−π)=0

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