Trigonometric functions and their graphs Quiz

1. What is the period of $y=\sin3x$?

• A. $\frac{2\pi}{3}$
• B. $3\pi$
• C. $\frac{\pi}{3}$
• D. $6\pi$

2. Which transformation maps $y=\sin x$ onto $y=\sin\left(x-\frac{\pi}{3}\right)$?

• A. translation of $\frac{\pi}{3}$ to the left
• B. translation of $\frac{\pi}{3}$ downwards
• C. translation of $\frac{\pi}{3}$ to the right
• D. stretch with scale factor $\frac{\pi}{3}$

3. At which value of $x$ is $\tan x$ undefined?

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

4. Which expression equals $\sin(\pi-x)$?

• A. $-\sin x$
• B. $\cos x$
• C. $-\cos x$
• D. $\sin x$

5. Solve $\cos x=0$ for $0\le x\le2\pi$.

• A. $\frac{\pi}{2}$ only
• B. $\pi$ and $2\pi$
• C. $\frac{\pi}{2}$ and $\frac{3\pi}{2}$
• D. $0$ and $\pi$