Find the Exact Value sin(0)

Problem

sin(0)

Solution

1. Identify the angle on the unit circle. The angle 0 radians (or 0 degrees) corresponds to the point on the positive x-axis.

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

3. Apply the definition of the sine function. On the unit circle, 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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