Find the Exact Value cos(59)

Problem

cos(59^∘)

Solution

1. Identify the task as finding the exact trigonometric value of cos(59^∘)

2. Determine if 59^∘ is a standard angle or can be expressed as a sum or difference of standard angles (such as 30^∘ 45^∘ or 60^∘.

3. Conclude that 59^∘ is not a standard angle and cannot be expressed as a simple sum or difference of standard angles using integers.

4. State that without further context or specific identities involving non-standard angles, the expression cos(59^∘) is already in its simplest exact form.

Final Answer

cos(59^∘)=cos(59^∘)

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