Find the Exact Value tan(51)

Problem

tan(51^∘)

Solution

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

2. Determine if the angle 51^∘ is a standard reference angle (such as 0^∘,30^∘,45^∘,60^∘,90^∘.

3. Recognize that 51^∘ is not a standard 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 any decimal approximation would not be exact.

Final Answer

tan(51^∘)=tan(51^∘)

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