Find the Exact Value tan(49)

Problem

tan(49^∘)

Solution

1. Identify the angle and the required operation. The task asks for the exact value of tan(49^∘)

2. Determine if the angle is a standard reference angle. The angle 49^∘ is not a standard angle (such as 0^∘ 30^∘ 45^∘ 60^∘ or 90^∘ nor is it a simple sum or difference of standard angles that yields a basic radical expression.

3. Conclude the exact form. Since 49^∘ cannot be expressed in terms of square roots using standard trigonometric identities or the half-angle/double-angle formulas in a simplified way, the exact value is represented by the expression itself.

Final Answer

tan(49^∘)=tan(49^∘)

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