Find the Value Using the Unit Circle sin(pi/6)

Problem

sin(π/6)

Solution

1. Identify the angle on the unit circle. The angle π/6 radians is equivalent to 30

2. Locate the coordinates (x,y) at π/6 on the unit circle. The coordinates are (√(,3)/2,1/2)

3. Apply the definition of the sine function on the unit circle. The value of sin(θ) corresponds to the ycoordinate of the point.

4. Extract the ycoordinate from the point (√(,3)/2,1/2)

Final Answer

sin(π/6)=1/2

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