Find the Exact Value tan(28)

Problem

tan(28^∘)

Solution

1. Identify the task as finding the exact trigonometric value of tan(28^∘)

2. Determine if the angle 28^∘ is a standard angle or a multiple of standard angles (like 30^∘,45^∘,60^∘.

3. Analyze the angle 28^∘ It is not a standard angle, nor can it be expressed simply using sum, difference, or half-angle formulas involving standard angles to produce a result in basic radicals.

4. Conclude that without a specific context or identity (such as expressing it in terms of other non-standard trigonometric constants), the exact value is represented by the expression itself.

Final Answer

tan(28^∘)=tan(28^∘)

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