Find the Value Using the Unit Circle sin(60)

Problem

sin(60)

Solution

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

2. Determine the coordinates (x,y) for the angle 60 On the unit circle, these coordinates are (1/2,√(,3)/2)

3. Apply the definition of the sine function. On the unit circle, sin(θ) is equal to the ycoordinate of the point.

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

Final Answer

sin(60)=√(,3)/2

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