Find the Exact Value arctan(5)

Problem

arctan(5)

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. The value 5 is not among the standard ratios for tangent such as 0 √(,3)/3 1 or √(,3)

3. Recognize that because 5 is not a standard ratio, the exact value cannot be expressed in terms of simple fractions of π or degrees without using the inverse trigonometric function itself.

4. State the value in its simplest exact form, which is the expression itself.

Final Answer

arctan(5)=arctan(5)

Want more problems? Check here!