question 10 of 20 the range of y = arctan x is (-π/2, π/2). a. true b. false

question 10 of 20 the range of y = arctan x is (-π/2, π/2). a. true b. false
Answer
Explanation:
Step1: Recall arctangent function range
The inverse - tangent function, $y = \arctan(x)$, is defined such that its range is the open interval $\left(-\frac{\pi}{2},\frac{\pi}{2}\right)$. This is by the standard definition of the inverse - tangent function, which restricts the domain of the tangent function $y=\tan(x)$ to $\left(-\frac{\pi}{2},\frac{\pi}{2}\right)$ to make it one - to - one and then find its inverse.
Answer:
A. True