Find the Exact Value cos(3)

Problem

cos(3)

Solution

1. Identify the input of the function. The expression cos(3) refers to the cosine of 3 radians.

2. Determine if the value is a standard angle. The number 3 is not a multiple of common angles like π π/2 π/3 π/4 or π/6

3. Evaluate the possibility of simplification. Since 3 is not a standard reference angle and no further context or identities are provided to decompose the number, the exact value is represented by the expression itself.

4. Note the approximate value. For context, since π≈3.14159 the value of 3 radians is in the second quadrant, where cosine is negative.

Final Answer

cos(3)=cos(3)

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