Find the Exact Value cos(1/2)

Problem

cos(1/2)

Solution

1. Identify the expression as the cosine of a constant value, where the argument is 1/2 radians.

2. Determine if the value corresponds to a standard angle on the unit circle. The value 1/2 radians is approximately 28.65 which is not a standard reference angle like π/6 π/4 or π/3

3. Conclude that because 1/2 is not a standard multiple of π the exact value cannot be simplified into a radical or rational form and is expressed simply as cos(1/2)

Final Answer

cos(1/2)=cos(1/2)

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