Evaluate sin(60 degrees )

Problem

sin(60)

Solution

1. Identify the angle in the context of the unit circle or a special right triangle.

2. Recall the properties of a 30−60−90 triangle, where the side opposite the 60 angle is √(,3)/2 times the hypotenuse.

3. Apply the definition of the sine function, which is the ratio of the opposite side to the hypotenuse.

4. Determine the value based on the unit circle coordinates (x,y)=(cos(θ),sin(θ)) where for 60 the ycoordinate is √(,3)/2

Final Answer

sin(60)=√(,3)/2

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