Find the Exact Value sin(pi/6)

Problem

sin(π/6)

Solution

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

π/6×180/π=30

2. Recall the coordinates of the unit circle for the standard angle 30 or π/6 radians.

(x,y)=(√(,3)/2,1/2)

3. Apply the definition of the sine function on the unit circle, where sin(θ) corresponds to the ycoordinate.

sin(π/6)=y

4. Determine the exact value based on the ycoordinate identified in the previous step.

sin(π/6)=1/2

Final Answer

sin(π/6)=1/2

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