ometric functions question find the exact value of the following expression. tan^(-1)(1) what is the exact…

ometric functions question find the exact value of the following expression. tan^(-1)(1) what is the exact value of tan^(-1)(1)? tan^(-1)(1)=□ (simplify your answer. type an exact answer, using π as needed. use integers or fractions for any n)

ometric functions question find the exact value of the following expression. tan^(-1)(1) what is the exact value of tan^(-1)(1)? tan^(-1)(1)=□ (simplify your answer. type an exact answer, using π as needed. use integers or fractions for any n)

Answer

Explanation:

Step1: Recall inverse - tangent definition

The inverse - tangent function (y = \tan^{-1}(x)) is defined as the angle (y) such that (\tan(y)=x) and (y\in\left(-\frac{\pi}{2},\frac{\pi}{2}\right)).

Step2: Find the angle

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

Answer:

(\frac{\pi}{4})