Chapter 5.5, Problem 1TB

(a)

To determine

To Find: The domain and range of $f\left(x\right)={\sin }^{-1}\left(x\right)$ along with the sketch and a labelled graph. Also, the domain and range of $f\left(x\right)={\sin }^{-1}\left(x\right)$ in the context of the unit circle.

(b)

To determine

To Find: The domain and range of $f\left(x\right)={\tan }^{-1}\left(x\right)$ along with the sketch and a labelled graph. Also, the domain and range of $f\left(x\right)={\tan }^{-1}\left(x\right)$ in the context of the unit circle.

(c)

To determine

To Find: The domain and range of $f\left(x\right)={\sec }^{-1}\left(x\right)$ along with the sketch and a labelled graph. Also, the domain and range of $f\left(x\right)={\sec }^{-1}\left(x\right)$ in the context of the unit circle.

(d)

To determine

To Find: The domain and range of $f\left(x\right)={\sin }^{-1}\left(\frac{x}{3}\right)$ along with the sketch and a labelled graph. Also, the domain and range of $f\left(x\right)={\sin }^{-1}\left(\frac{x}{3}\right)$ in the context of the unit circle.