Find the Exact Value cos(30 degrees )

Problem

cos(30^∘)

Solution

1. Identify the angle on the unit circle. The angle 30^∘ is one of the standard reference angles in the first quadrant.

2. Recall the coordinates for the standard angle 30^∘ (or π/6 radians) on the unit circle, which are (√(,3)/2,1/2)

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

4. Determine the value by selecting the xcoordinate from the identified point.

Final Answer

cos(30^∘)=√(,3)/2

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