Simplify cos(2)

Problem

cos(2)

Solution

1. Identify the expression as the cosine of the real number 2 (measured in radians).

2. Determine if the value can be simplified into an exact algebraic form using standard unit circle values. Since 2 radians is not a standard multiple of π (like π/6 π/4 or π/3, there is no simpler exact radical form.

3. Evaluate the expression numerically if a decimal approximation is required. Using a calculator in radian mode, cos(2)≈−0.4161468

4. Conclude that the expression is already in its simplest exact form.

Final Answer

cos(2)=cos(2)

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