Evaluate sin(180 degrees )

Problem

sin(180)

Solution

1. Identify the position of the angle 180 on the unit circle.

2. Determine the coordinates (x,y) at 180 which corresponds to the point (−1,0)

3. Apply the definition of the sine function on the unit circle, where sin(θ)=y

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

Final Answer

sin(180)=0

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