Find the Exact Value arctan(8)

Problem

arctan(8)

Solution

1. Identify the expression as the inverse tangent of a positive integer.

2. Determine if the value corresponds to a standard angle on the unit circle. Since 8 is not a standard value like 0 √(,3)/3 1 or √(,3) the value cannot be expressed as a simple multiple of π

3. Recognize that the exact value is represented by the expression itself, as it does not simplify further into a rational multiple of π

4. Express the result in its simplest exact form.

Final Answer

arctan(8)=arctan(8)

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