Practice Solutions

1. $y=\tan x$

C

2. $y=\sec x$

A

3. $y=\sin x$

E

4. $y=\cot x$

B

5. $y=\csc x$

F

6. $y=\cos x$

D

7. Name the function and label the key elements on the sketch over the interval $0\le x\le 2\mathrm{\pi }$.

$y=\cos x$ 

8. Name the asymptotes for$y=\sec x$ across the interval $0\le x\le 2\mathrm{\pi }$.

$x=\frac{\mathrm{\pi }}{2}, \frac{ 3\mathrm{\pi }}{2}$

9. Name the trigonometric functions that have a period of $\mathrm{\pi }$.

$y=\tan x, y=\cot x$

10. Name the function and label the key elements on the sketch over the interval  $–\frac{\mathrm{\pi }}{2}<x<\frac{\mathrm{\pi }}{2}$.

11. Sketch$y=\sin x$ over the interval $0\le x\le 2\mathrm{\pi }$. Label the five key elements.

12. Sketch$y=\csc x$over the interval $0\le x\le 2\mathrm{\pi }$. Label the key elements.

13. Name the asymptotes for$y=\cot x$ across the interval $0\le x\le 2\mathrm{\pi }$.

$x=0, \mathrm{\pi }, 2\mathrm{\pi }$

14. Name the trigonometric functions that have a period of $2\mathrm{\pi }$.

$y=\sin x, y=\cos x, y=\sec x, y=\csc x$

15. Sketch$y=\cot x$ over the interval $0<x<\mathrm{\pi }$. Label the key elements.

16. Name the function and label the key elements on the sketch over the interval $0\le x\le 2\mathrm{\pi }$.