Find the Exact Value cos(8)

Problem

cos(8)

Solution

1. Identify the expression as the cosine of the real number 8

2. Determine if the value can be simplified into a more common exact form using radicals or fractions.

3. Recognize that 8 is not a standard multiple of π (such as π/6 π/4 or π/3 that results in a simple algebraic exact value.

4. Conclude that since 8 is an integer representing an angle in radians, the most precise way to write its exact value is simply cos(8)

Final Answer

cos(8)=cos(8)

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