Find the Exact Value cos(pi/6)

Problem

cos(π/6)

Solution

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

π/6⋅180^∘/π=30^∘

2. Recall the coordinates of the unit circle for the standard angle 30^∘

Point=(√(,3)/2,1/2)

3. Apply the definition of the cosine function on the unit circle, where cos(θ) corresponds to the xcoordinate.

cos(π/6)=√(,3)/2

Final Answer

cos(π/6)=√(,3)/2

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