Inverse trigonometric functions Quiz

1. What is $\arccos(-1)$ in radians?

• A. $0$
• B. $\frac{\pi}{2}$
• C. $\pi$
• D. $-\pi$

2. What is $\arcsin\left(\sin\frac{5\pi}{6}\right)$?

• A. $\frac{5\pi}{6}$
• B. $\frac{\pi}{6}$
• C. $-\frac{\pi}{6}$
• D. $\frac{7\pi}{6}$

3. What is the domain of $\arcsin x$?

• A. all real numbers
• B. $-\frac{\pi}{2}\le x\le\frac{\pi}{2}$
• C. $0\le x\le\pi$
• D. $-1\le x\le1$

4. What is $\arctan1$ in degrees?

• A. $45^{\circ}$
• B. $135^{\circ}$
• C. $90^{\circ}$
• D. $-45^{\circ}$

5. How is the graph of $y=\arcsin x$ obtained?

• A. Reflect $y=\sin x$ in the $x$-axis
• B. Reflect $y=\sin x$ (restricted to $-\frac{\pi}{2}\le x\le\frac{\pi}{2}$) in the line $y=x$
• C. Rotate $y=\sin x$ by $90^{\circ}$ about the origin
• D. Reflect $y=\sin x$ in the $y$-axis