Find the Exact Value tan(44)

Problem

tan(44^∘)

Solution

1. Identify the task as finding the exact trigonometric value of tan(44^∘)

2. Determine if the angle 44^∘ is a standard reference angle (such as 0^∘,30^∘,45^∘,60^∘,90^∘ or a multiple of one.

3. Analyze the angle for possible decomposition using sum, difference, or half-angle formulas. The angle 44^∘ does not result in a simplified radical expression using standard trigonometric identities involving integers or common square roots.

4. Conclude that since 44^∘ is not a standard angle and cannot be expressed as a simple combination of standard angles to produce a basic radical form, the exact value is represented by the expression itself.

Final Answer

tan(44^∘)=tan(44^∘)

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