Find the Exact Value cos(61)

Problem

cos(61^∘)

Solution

1. Identify the task as finding the exact trigonometric value of cos(61^∘)

2. Determine if 61^∘ 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 61^∘ is not a standard angle and cannot be expressed as a simple sum or difference of standard angles using integers.

4. State that without a specific identity or approximation method (like a Taylor series or calculator), the expression cos(61^∘) is already in its simplest exact form.

Final Answer

cos(61^∘)=cos(61^∘)

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