Find the Exact Value tan(26)

Problem

tan(26)

Solution

1. Identify the task as finding the exact trigonometric value of tan(26)

2. Determine if the angle is a standard reference angle. The standard angles are 0,30,45,60,90 and their multiples.

3. Analyze the angle 26 This angle is not a standard reference angle, nor can it be easily expressed as a sum or difference of standard angles (like 15=45−30 to yield a simple radical expression.

4. Conclude that while the value can be expressed using the tangent addition formula or half-angle identities in terms of other non-standard angles, there is no standard "exact value" involving simple square roots for tan(26) typically used in trigonometry courses.

5. Provide the decimal approximation if an exact radical form is unavailable.

Final Answer

tan(26)≈0.48773258

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