Find the Exact Value sin(0 degrees )

Problem

sin(0)

Solution

1. Identify the position of the angle on the unit circle. An angle of 0 corresponds to the positive x-axis.

2. Determine the coordinates of the point on the unit circle at this angle. The point is (1,0)

3. Apply the definition of the sine function on the unit circle, where sin(θ) is equal to the y-coordinate of the point.

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

Final Answer

sin(0)=0

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