Find the Value Using the Unit Circle sin(pi)

Problem

sin(π)

Solution

1. Identify the angle on the unit circle. The angle is π radians, which corresponds to 180

2. Determine the coordinates of the point on the unit circle at π radians. Moving counter-clockwise from the positive xaxis, the point is located on the negative xaxis.

3. Locate the specific (x,y) coordinates. At π radians, the point on the unit circle is (−1,0)

4. Apply the definition of the sine function on the unit circle. The value of sin(θ) is equal to the ycoordinate of the point.

5. Extract the ycoordinate from the point (−1,0)

Final Answer

sin(π)=0

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