Find the Exact Value sin(360)

Problem

sin(360)

Solution

1. Identify the angle in the unit circle. The angle 360 represents one full rotation around the circle, which is coterminal with 0

2. Determine the coordinates on the unit circle. At 360 (or 0, the point on the unit circle is (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 ycoordinate from the point (1,0)

Final Answer

sin(360)=0

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