Find the Exact Value sin(pi/3)

Problem

sin(π/3)

Solution

1. Identify the angle in degrees to better visualize the position on the unit circle.

π/3⋅180/π=60

2. Recall the coordinates of the unit circle for the standard angle 60 or π/3 radians.

(x,y)=(cos(π/3),sin(π/3))

3. Determine the ycoordinate for the angle π/3 using the properties of a 30−60−90 reference triangle.

sin(π/3)=√(,3)/2

Final Answer

sin(π/3)=√(,3)/2

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