Find the Exact Value arctan(14)

Problem

arctan(14)

Solution

1. Identify the expression as the inverse tangent of the integer 14.

2. Determine if 14 is a standard value for the tangent function (such as 0 √(,3)/3 1 or √(,3). Since 14 is not a standard value, the exact value cannot be expressed in terms of simple fractions of π

3. Recognize that the expression arctan(14) is already in its simplest exact form.

Final Answer

arctan(14)=arctan(14)

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