Find the Value Using the Unit Circle cos(1/2)

Problem

cos(1/2)

Solution

1. Identify the input value as 1/2 radians, which is approximately 28.65

2. Locate the point on the unit circle corresponding to an angle of 1/2 radians.

3. Determine the x-coordinate of this point, as the cosine of an angle θ on the unit circle is defined as x=cos(θ)

4. Evaluate the expression using a calculator or trigonometric tables, as 1/2 is not one of the standard "special" angles (like π/6 π/4 or π/3 typically found on a basic unit circle diagram.

5. Approximate the value to four decimal places.

Final Answer

cos(1/2)≈0.8776

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