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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