Find the Exact Value sin(55)

Problem

sin(55^∘)

Solution

1. Identify the expression as the sine of an angle measured in degrees.

2. Determine if the angle 55^∘ is a standard reference angle (such as 0^∘ 30^∘ 45^∘ 60^∘ or 90^∘.

3. Recognize that 55^∘ is not a standard reference angle and cannot be easily expressed as a sum or difference of standard angles to produce a simple radical form.

4. Conclude that the exact value is represented by the expression itself, as further simplification into basic radicals involves complex cubic roots via the triple angle formula or non-standard constants.

Final Answer

sin(55^∘)=sin(55^∘)

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