Find the Exact Value tan(88)

Problem

tan(88^∘)

Solution

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

2. Determine if the angle 88^∘ is a standard reference angle (like 30^∘ 45^∘ or 60^∘.

3. Conclude that since 88^∘ is not a standard angle and no specific trigonometric identities (like sum or difference formulas) simplify it into a more basic radical form, the exact value is expressed simply as the function of that angle.

4. Note that while numerical approximations exist, the exact mathematical representation remains in trigonometric form.

Final Answer

tan(88^∘)=tan(88^∘)

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