Find the Value Using the Unit Circle sin(pi/3)

Problem

sin(π/3)

Solution

1. Identify the angle π/3 on the unit circle, which corresponds to 60^∘ in degrees.

2. Determine the coordinates (x,y) of the point on the unit circle at this angle, which are (1/2,√(,3)/2)

3. Apply the definition of the sine function on the unit circle, where sin(θ)=y

4. Extract the ycoordinate from the identified point.

Final Answer

sin(π/3)=√(,3)/2

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