Find the Exact Value cos(56)

Problem

cos(56^∘)

Solution

1. Identify the task as finding the exact trigonometric value of cos(56^∘)

2. Determine if the angle 56^∘ is a standard reference angle (such as 0^∘,30^∘,45^∘,60^∘,90^∘ or a multiple of one.

3. Analyze the angle for possible sum, difference, or half-angle identities. The angle 56^∘ cannot be expressed as a simple combination of standard angles using rational numbers or square roots.

4. Conclude that since 56^∘ is not a standard angle and cannot be simplified into an expression involving basic radicals (like √(,2) or √(,3), the exact value is represented by the expression itself.

Final Answer

cos(56^∘)=cos(56^∘)

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