Find the Value Using the Unit Circle sin(0)

Problem

sin(0)

Solution

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

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

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

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

Final Answer

sin(0)=0

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