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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