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

Problem

cos(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 the angle π/6 on the unit circle.

3. Recall that for any point (x,y) on the unit circle, cos(θ)=x

4. Determine the x-coordinate at π/6 which is √(,3)/2

Final Answer

cos(π/6)=√(,3)/2

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