Find the Value Using the Unit Circle sin(60 degrees )

Problem

sin(60)

Solution

1. Identify the angle on the unit circle. The angle 60 is located in the first quadrant.

2. Recall the coordinates (x,y) for the angle 60 on the unit circle. The coordinates are (1/2,√(,3)/2)

3. Apply the definition of the sine function on the unit circle. For any point (x,y) on the unit circle, sin(θ)=y

4. Extract the ycoordinate from the point (1/2,√(,3)/2)

Final Answer

sin(60)=√(,3)/2

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