Find the Value Using the Unit Circle cos(30 degrees )

Problem

cos(30^∘)

Solution

1. Identify the angle on the unit circle. The angle 30^∘ is located in the first quadrant.

2. Determine the coordinates (x,y) for the angle 30^∘ on the unit circle.

3. Recall that for any angle θ on the unit circle, cos(θ) corresponds to the xcoordinate.

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

Final Answer

cos(30^∘)=√(,3)/2

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