Find the Exact Value cos(30)

Problem

cos(30)

Solution

1. Identify the angle on the unit circle. The angle 30 is a standard angle in the first quadrant.

2. Recall the coordinates of the terminal point for 30 (or π/6 radians) on the unit circle. The coordinates are (√(,3)/2,1/2)

3. Apply the definition of the cosine function. On the unit circle, cos(θ) is equal to the xcoordinate of the terminal point.

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

Final Answer

cos(30)=√(,3)/2

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