10. -/1 points details my notes evaluate the expression. tan^(-1)(1) radians additional materials ebook…

Explanation:

Step1: Recall inverse - tangent definition

The inverse - tangent function (y = \tan^{-1}(x)) is the inverse of the tangent function (y=\tan(x)) with a restricted domain (-\frac{\pi}{2}<x<\frac{\pi}{2}). We need to find an angle (y) in the interval ((-\frac{\pi}{2},\frac{\pi}{2})) such that (\tan(y)=1).

Step2: Use tangent values of special angles

We know that (\tan(\frac{\pi}{4}) = 1) and (\frac{\pi}{4}\in(-\frac{\pi}{2},\frac{\pi}{2})).

Answer:

(\frac{\pi}{4})