Find the Exact Value arctan(15)

Problem

arctan(15)

Solution

1. Identify the expression as the inverse tangent of a positive integer, 15

2. Determine if the value corresponds to a standard angle on the unit circle. The value 15 is not among the standard ratios such as 0 √(,3)/3 1 or √(,3)

3. Recognize that for non-standard values, the exact value is typically represented by the expression itself, arctan(15) or its equivalent notation tan(15)(−1)

4. State the result in its simplest exact form.

Final Answer

arctan(15)=arctan(15)

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