Find the Exact Value tan(56)

Problem

tan(56^∘)

Solution

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

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

3. Recognize that 56^∘ is not a standard angle and cannot be expressed as a simple combination (sum or difference) of standard angles that results in a simplified radical expression.

4. Conclude that without further context or specific identities (such as half-angle formulas for 112^∘, the exact value is simply the expression itself.

Final Answer

tan(56^∘)=tan(56^∘)

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