Find the Exact Value sin(180)

Problem

sin(180)

Solution

1. Identify the angle on the unit circle. The angle 180 corresponds to the point on the negative x-axis.

2. Determine the coordinates of the point on the unit circle at 180 The coordinates are (−1,0)

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

4. Extract the y-coordinate from the point (−1,0)

Final Answer

sin(180)=0

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